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Finding the Fourth Proportional to 24,375.13, 36,568.17 and 7,735.70

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Solution

The fourth proportional to 24,375.13, 36,568.17 and 7,735.70 is: 11,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.13 : 36,568.17 = 7,735.70 : x
  2. Step 2: Convert to fraction form
    24,375.13/36,568.17 = 7,735.70/x
  3. Step 3: Cross multiply
    24,375.13x = 36,568.17 × 7,735.70
  4. Step 4: Simplify right side
    24,375.13x = 282,880,484.09
  5. Step 5: Solve for x
    x = 282,880,484.09/24,375.13
  6. Step 6: Final answer
    x = 11,605.29

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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.