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Finding the Fourth Proportional to 13,205,706.16, 18,224,059.44 and 7,977,987.22

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Solution

The fourth proportional to 13,205,706.16, 18,224,059.44 and 7,977,987.22 is: 11,009,734.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,205,706.16 : 18,224,059.44 = 7,977,987.22 : x
  2. Step 2: Convert to fraction form
    13,205,706.16/18,224,059.44 = 7,977,987.22/x
  3. Step 3: Cross multiply
    13,205,706.16x = 18,224,059.44 × 7,977,987.22
  4. Step 4: Simplify right side
    13,205,706.16x = 145,391,313,308,840.38
  5. Step 5: Solve for x
    x = 145,391,313,308,840.38/13,205,706.16
  6. Step 6: Final answer
    x = 11,009,734.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.