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Finding the Fourth Proportional to 24,035.85, 36,057.24 and 7,397.28

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Solution

The fourth proportional to 24,035.85, 36,057.24 and 7,397.28 is: 11,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,035.85 : 36,057.24 = 7,397.28 : x
  2. Step 2: Convert to fraction form
    24,035.85/36,057.24 = 7,397.28/x
  3. Step 3: Cross multiply
    24,035.85x = 36,057.24 × 7,397.28
  4. Step 4: Simplify right side
    24,035.85x = 266,725,500.31
  5. Step 5: Solve for x
    x = 266,725,500.31/24,035.85
  6. Step 6: Final answer
    x = 11,096.99

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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.