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Finding the Fourth Proportional to 24,288.38, 36,434.03 and 7,648.95

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Solution

The fourth proportional to 24,288.38, 36,434.03 and 7,648.95 is: 11,473.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288.38 : 36,434.03 = 7,648.95 : x
  2. Step 2: Convert to fraction form
    24,288.38/36,434.03 = 7,648.95/x
  3. Step 3: Cross multiply
    24,288.38x = 36,434.03 × 7,648.95
  4. Step 4: Simplify right side
    24,288.38x = 278,682,035.52
  5. Step 5: Solve for x
    x = 278,682,035.52/24,288.38
  6. Step 6: Final answer
    x = 11,473.89

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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.