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Finding the Fourth Proportional to 24,373.96, 36,565.48 and 7,729.52

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Solution

The fourth proportional to 24,373.96, 36,565.48 and 7,729.52 is: 11,595.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,373.96 : 36,565.48 = 7,729.52 : x
  2. Step 2: Convert to fraction form
    24,373.96/36,565.48 = 7,729.52/x
  3. Step 3: Cross multiply
    24,373.96x = 36,565.48 × 7,729.52
  4. Step 4: Simplify right side
    24,373.96x = 282,633,608.97
  5. Step 5: Solve for x
    x = 282,633,608.97/24,373.96
  6. Step 6: Final answer
    x = 11,595.72

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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.