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Finding the Fourth Proportional to 24,348.38, 36,494.89 and 10,299.64

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Solution

The fourth proportional to 24,348.38, 36,494.89 and 10,299.64 is: 15,437.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,348.38 : 36,494.89 = 10,299.64 : x
  2. Step 2: Convert to fraction form
    24,348.38/36,494.89 = 10,299.64/x
  3. Step 3: Cross multiply
    24,348.38x = 36,494.89 × 10,299.64
  4. Step 4: Simplify right side
    24,348.38x = 375,884,180.28
  5. Step 5: Solve for x
    x = 375,884,180.28/24,348.38
  6. Step 6: Final answer
    x = 15,437.75

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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.