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Finding the Fourth Proportional to 13,775.90, 19,009.05 and 9,309.38

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Solution

The fourth proportional to 13,775.90, 19,009.05 and 9,309.38 is: 12,845.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,775.90 : 19,009.05 = 9,309.38 : x
  2. Step 2: Convert to fraction form
    13,775.90/19,009.05 = 9,309.38/x
  3. Step 3: Cross multiply
    13,775.90x = 19,009.05 × 9,309.38
  4. Step 4: Simplify right side
    13,775.90x = 176,962,469.89
  5. Step 5: Solve for x
    x = 176,962,469.89/13,775.90
  6. Step 6: Final answer
    x = 12,845.80

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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.