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Finding the Fourth Proportional to 17,781.94, 24,543.83 and 10,229.10

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Solution

The fourth proportional to 17,781.94, 24,543.83 and 10,229.10 is: 14,118.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,781.94 : 24,543.83 = 10,229.10 : x
  2. Step 2: Convert to fraction form
    17,781.94/24,543.83 = 10,229.10/x
  3. Step 3: Cross multiply
    17,781.94x = 24,543.83 × 10,229.10
  4. Step 4: Simplify right side
    17,781.94x = 251,061,291.45
  5. Step 5: Solve for x
    x = 251,061,291.45/17,781.94
  6. Step 6: Final answer
    x = 14,118.89

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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.