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Finding the Fourth Proportional to 24,416.64, 36,626.78 and 10,375.09

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Solution

The fourth proportional to 24,416.64, 36,626.78 and 10,375.09 is: 15,563.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.64 : 36,626.78 = 10,375.09 : x
  2. Step 2: Convert to fraction form
    24,416.64/36,626.78 = 10,375.09/x
  3. Step 3: Cross multiply
    24,416.64x = 36,626.78 × 10,375.09
  4. Step 4: Simplify right side
    24,416.64x = 380,006,073.28
  5. Step 5: Solve for x
    x = 380,006,073.28/24,416.64
  6. Step 6: Final answer
    x = 15,563.41

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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.