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Finding the Fourth Proportional to 21,127.50, 31,695.03 and 7,092.10

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Solution

The fourth proportional to 21,127.50, 31,695.03 and 7,092.10 is: 10,639.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,127.50 : 31,695.03 = 7,092.10 : x
  2. Step 2: Convert to fraction form
    21,127.50/31,695.03 = 7,092.10/x
  3. Step 3: Cross multiply
    21,127.50x = 31,695.03 × 7,092.10
  4. Step 4: Simplify right side
    21,127.50x = 224,784,335.29
  5. Step 5: Solve for x
    x = 224,784,335.29/21,127.50
  6. Step 6: Final answer
    x = 10,639.42

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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.