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Finding the Fourth Proportional to 15,737, 21,716.80 and 8,663.28

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Solution

The fourth proportional to 15,737, 21,716.80 and 8,663.28 is: 11,955.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,737 : 21,716.80 = 8,663.28 : x
  2. Step 2: Convert to fraction form
    15,737/21,716.80 = 8,663.28/x
  3. Step 3: Cross multiply
    15,737x = 21,716.80 × 8,663.28
  4. Step 4: Simplify right side
    15,737x = 188,138,719.10
  5. Step 5: Solve for x
    x = 188,138,719.10/15,737
  6. Step 6: Final answer
    x = 11,955.18

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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.