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Finding the Fourth Proportional to 24,781.38, 37,177.74 and 8,142.72

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Solution

The fourth proportional to 24,781.38, 37,177.74 and 8,142.72 is: 12,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,781.38 : 37,177.74 = 8,142.72 : x
  2. Step 2: Convert to fraction form
    24,781.38/37,177.74 = 8,142.72/x
  3. Step 3: Cross multiply
    24,781.38x = 37,177.74 × 8,142.72
  4. Step 4: Simplify right side
    24,781.38x = 302,727,927.05
  5. Step 5: Solve for x
    x = 302,727,927.05/24,781.38
  6. Step 6: Final answer
    x = 12,215.94

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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.