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Finding the Fourth Proportional to 21,335.30, 31,977.03 and 15,097.13

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Solution

The fourth proportional to 21,335.30, 31,977.03 and 15,097.13 is: 22,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,335.30 : 31,977.03 = 15,097.13 : x
  2. Step 2: Convert to fraction form
    21,335.30/31,977.03 = 15,097.13/x
  3. Step 3: Cross multiply
    21,335.30x = 31,977.03 × 15,097.13
  4. Step 4: Simplify right side
    21,335.30x = 482,761,490.52
  5. Step 5: Solve for x
    x = 482,761,490.52/21,335.30
  6. Step 6: Final answer
    x = 22,627.36

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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.