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Finding the Fourth Proportional to 16,257.80, 22,434.60 and 9,543.70

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Solution

The fourth proportional to 16,257.80, 22,434.60 and 9,543.70 is: 13,169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.80 : 22,434.60 = 9,543.70 : x
  2. Step 2: Convert to fraction form
    16,257.80/22,434.60 = 9,543.70/x
  3. Step 3: Cross multiply
    16,257.80x = 22,434.60 × 9,543.70
  4. Step 4: Simplify right side
    16,257.80x = 214,109,092.02
  5. Step 5: Solve for x
    x = 214,109,092.02/16,257.80
  6. Step 6: Final answer
    x = 13,169.62

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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.