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Finding the Fourth Proportional to 24,557.16, 36,838.46 and 8,765.88

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Solution

The fourth proportional to 24,557.16, 36,838.46 and 8,765.88 is: 13,149.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,557.16 : 36,838.46 = 8,765.88 : x
  2. Step 2: Convert to fraction form
    24,557.16/36,838.46 = 8,765.88/x
  3. Step 3: Cross multiply
    24,557.16x = 36,838.46 × 8,765.88
  4. Step 4: Simplify right side
    24,557.16x = 322,921,519.74
  5. Step 5: Solve for x
    x = 322,921,519.74/24,557.16
  6. Step 6: Final answer
    x = 13,149.79

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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.