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Finding the Fourth Proportional to 24,373.88, 36,562.72 and 7,734.86

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Solution

The fourth proportional to 24,373.88, 36,562.72 and 7,734.86 is: 11,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373.88 : 36,562.72 = 7,734.86 : x
  2. Step 2: Convert to fraction form
    24,373.88/36,562.72 = 7,734.86/x
  3. Step 3: Cross multiply
    24,373.88x = 36,562.72 × 7,734.86
  4. Step 4: Simplify right side
    24,373.88x = 282,807,520.42
  5. Step 5: Solve for x
    x = 282,807,520.42/24,373.88
  6. Step 6: Final answer
    x = 11,602.89

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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.