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Finding the Fourth Proportional to 24,817.38, 37,176.04 and 11,471.55

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Solution

The fourth proportional to 24,817.38, 37,176.04 and 11,471.55 is: 17,184.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,817.38 : 37,176.04 = 11,471.55 : x
  2. Step 2: Convert to fraction form
    24,817.38/37,176.04 = 11,471.55/x
  3. Step 3: Cross multiply
    24,817.38x = 37,176.04 × 11,471.55
  4. Step 4: Simplify right side
    24,817.38x = 426,466,801.66
  5. Step 5: Solve for x
    x = 426,466,801.66/24,817.38
  6. Step 6: Final answer
    x = 17,184.20

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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.