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Finding the Fourth Proportional to 24,381.59, 36,572.39 and 8,582.90

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Solution

The fourth proportional to 24,381.59, 36,572.39 and 8,582.90 is: 12,874.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,381.59 : 36,572.39 = 8,582.90 : x
  2. Step 2: Convert to fraction form
    24,381.59/36,572.39 = 8,582.90/x
  3. Step 3: Cross multiply
    24,381.59x = 36,572.39 × 8,582.90
  4. Step 4: Simplify right side
    24,381.59x = 313,896,940.35
  5. Step 5: Solve for x
    x = 313,896,940.35/24,381.59
  6. Step 6: Final answer
    x = 12,874.35

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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.