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Finding the Fourth Proportional to 15,631.97, 21,572.12 and 8,461.87

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Solution

The fourth proportional to 15,631.97, 21,572.12 and 8,461.87 is: 11,677.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,631.97 : 21,572.12 = 8,461.87 : x
  2. Step 2: Convert to fraction form
    15,631.97/21,572.12 = 8,461.87/x
  3. Step 3: Cross multiply
    15,631.97x = 21,572.12 × 8,461.87
  4. Step 4: Simplify right side
    15,631.97x = 182,540,442.29
  5. Step 5: Solve for x
    x = 182,540,442.29/15,631.97
  6. Step 6: Final answer
    x = 11,677.38

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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.