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Finding the Fourth Proportional to 15,691.36, 21,654.32 and 8,617.68

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Solution

The fourth proportional to 15,691.36, 21,654.32 and 8,617.68 is: 11,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,691.36 : 21,654.32 = 8,617.68 : x
  2. Step 2: Convert to fraction form
    15,691.36/21,654.32 = 8,617.68/x
  3. Step 3: Cross multiply
    15,691.36x = 21,654.32 × 8,617.68
  4. Step 4: Simplify right side
    15,691.36x = 186,610,000.38
  5. Step 5: Solve for x
    x = 186,610,000.38/15,691.36
  6. Step 6: Final answer
    x = 11,892.53

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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.