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Finding the Fourth Proportional to 24,288.59, 36,438.65 and 7,648.58

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Solution

The fourth proportional to 24,288.59, 36,438.65 and 7,648.58 is: 11,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288.59 : 36,438.65 = 7,648.58 : x
  2. Step 2: Convert to fraction form
    24,288.59/36,438.65 = 7,648.58/x
  3. Step 3: Cross multiply
    24,288.59x = 36,438.65 × 7,648.58
  4. Step 4: Simplify right side
    24,288.59x = 278,703,747.42
  5. Step 5: Solve for x
    x = 278,703,747.42/24,288.59
  6. Step 6: Final answer
    x = 11,474.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.