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Finding the Fourth Proportional to 12,890.97, 19,332 and 6,654.24

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Solution

The fourth proportional to 12,890.97, 19,332 and 6,654.24 is: 9,979.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,890.97 : 19,332 = 6,654.24 : x
  2. Step 2: Convert to fraction form
    12,890.97/19,332 = 6,654.24/x
  3. Step 3: Cross multiply
    12,890.97x = 19,332 × 6,654.24
  4. Step 4: Simplify right side
    12,890.97x = 128,639,767.68
  5. Step 5: Solve for x
    x = 128,639,767.68/12,890.97
  6. Step 6: Final answer
    x = 9,979.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.