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Finding the Fourth Proportional to 24,041.28, 36,061.92 and 7,624

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Solution

The fourth proportional to 24,041.28, 36,061.92 and 7,624 is: 11,436

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,041.28 : 36,061.92 = 7,624 : x
  2. Step 2: Convert to fraction form
    24,041.28/36,061.92 = 7,624/x
  3. Step 3: Cross multiply
    24,041.28x = 36,061.92 × 7,624
  4. Step 4: Simplify right side
    24,041.28x = 274,936,078.08
  5. Step 5: Solve for x
    x = 274,936,078.08/24,041.28
  6. Step 6: Final answer
    x = 11,436

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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.