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Finding the Fourth Proportional to 24,747.90, 37,123.68 and 7,218.18

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Solution

The fourth proportional to 24,747.90, 37,123.68 and 7,218.18 is: 10,827.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,747.90 : 37,123.68 = 7,218.18 : x
  2. Step 2: Convert to fraction form
    24,747.90/37,123.68 = 7,218.18/x
  3. Step 3: Cross multiply
    24,747.90x = 37,123.68 × 7,218.18
  4. Step 4: Simplify right side
    24,747.90x = 267,965,404.50
  5. Step 5: Solve for x
    x = 267,965,404.50/24,747.90
  6. Step 6: Final answer
    x = 10,827.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.