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Finding the Fourth Proportional to 16,702.48, 23,049.39 and 9,149.13

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Solution

The fourth proportional to 16,702.48, 23,049.39 and 9,149.13 is: 12,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.48 : 23,049.39 = 9,149.13 : x
  2. Step 2: Convert to fraction form
    16,702.48/23,049.39 = 9,149.13/x
  3. Step 3: Cross multiply
    16,702.48x = 23,049.39 × 9,149.13
  4. Step 4: Simplify right side
    16,702.48x = 210,881,727.41
  5. Step 5: Solve for x
    x = 210,881,727.41/16,702.48
  6. Step 6: Final answer
    x = 12,625.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.