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Finding the Fourth Proportional to 24,062.50, 36,097.14 and 7,423.88

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Solution

The fourth proportional to 24,062.50, 36,097.14 and 7,423.88 is: 11,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,062.50 : 36,097.14 = 7,423.88 : x
  2. Step 2: Convert to fraction form
    24,062.50/36,097.14 = 7,423.88/x
  3. Step 3: Cross multiply
    24,062.50x = 36,097.14 × 7,423.88
  4. Step 4: Simplify right side
    24,062.50x = 267,980,835.70
  5. Step 5: Solve for x
    x = 267,980,835.70/24,062.50
  6. Step 6: Final answer
    x = 11,136.87

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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.