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Finding the Fourth Proportional to 13,076.90, 19,615.16 and 3,216.26

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Solution

The fourth proportional to 13,076.90, 19,615.16 and 3,216.26 is: 4,824.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.90 : 19,615.16 = 3,216.26 : x
  2. Step 2: Convert to fraction form
    13,076.90/19,615.16 = 3,216.26/x
  3. Step 3: Cross multiply
    13,076.90x = 19,615.16 × 3,216.26
  4. Step 4: Simplify right side
    13,076.90x = 63,087,454.50
  5. Step 5: Solve for x
    x = 63,087,454.50/13,076.90
  6. Step 6: Final answer
    x = 4,824.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.