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Finding the Fourth Proportional to 24,302.77, 36,454.15 and 5,834.77

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Solution

The fourth proportional to 24,302.77, 36,454.15 and 5,834.77 is: 8,752.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,302.77 : 36,454.15 = 5,834.77 : x
  2. Step 2: Convert to fraction form
    24,302.77/36,454.15 = 5,834.77/x
  3. Step 3: Cross multiply
    24,302.77x = 36,454.15 × 5,834.77
  4. Step 4: Simplify right side
    24,302.77x = 212,701,551.62
  5. Step 5: Solve for x
    x = 212,701,551.62/24,302.77
  6. Step 6: Final answer
    x = 8,752.15

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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.