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Finding the Fourth Proportional to 16,342.80, 24,543.90 and 9,781.80

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Solution

The fourth proportional to 16,342.80, 24,543.90 and 9,781.80 is: 14,690.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,342.80 : 24,543.90 = 9,781.80 : x
  2. Step 2: Convert to fraction form
    16,342.80/24,543.90 = 9,781.80/x
  3. Step 3: Cross multiply
    16,342.80x = 24,543.90 × 9,781.80
  4. Step 4: Simplify right side
    16,342.80x = 240,083,521.02
  5. Step 5: Solve for x
    x = 240,083,521.02/16,342.80
  6. Step 6: Final answer
    x = 14,690.48

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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.