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Finding the Fourth Proportional to 18,472.86, 27,694.71 and 9,702.99

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Solution

The fourth proportional to 18,472.86, 27,694.71 and 9,702.99 is: 14,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,472.86 : 27,694.71 = 9,702.99 : x
  2. Step 2: Convert to fraction form
    18,472.86/27,694.71 = 9,702.99/x
  3. Step 3: Cross multiply
    18,472.86x = 27,694.71 × 9,702.99
  4. Step 4: Simplify right side
    18,472.86x = 268,721,494.18
  5. Step 5: Solve for x
    x = 268,721,494.18/18,472.86
  6. Step 6: Final answer
    x = 14,546.83

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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.