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Finding the Fourth Proportional to 24,311.64, 36,535.86 and 14,452.68

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Solution

The fourth proportional to 24,311.64, 36,535.86 and 14,452.68 is: 21,719.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.64 : 36,535.86 = 14,452.68 : x
  2. Step 2: Convert to fraction form
    24,311.64/36,535.86 = 14,452.68/x
  3. Step 3: Cross multiply
    24,311.64x = 36,535.86 × 14,452.68
  4. Step 4: Simplify right side
    24,311.64x = 528,041,093.10
  5. Step 5: Solve for x
    x = 528,041,093.10/24,311.64
  6. Step 6: Final answer
    x = 21,719.68

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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.