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Finding the Fourth Proportional to 24,287.68, 36,421.32 and 10,254.04

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Solution

The fourth proportional to 24,287.68, 36,421.32 and 10,254.04 is: 15,376.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.68 : 36,421.32 = 10,254.04 : x
  2. Step 2: Convert to fraction form
    24,287.68/36,421.32 = 10,254.04/x
  3. Step 3: Cross multiply
    24,287.68x = 36,421.32 × 10,254.04
  4. Step 4: Simplify right side
    24,287.68x = 373,465,672.13
  5. Step 5: Solve for x
    x = 373,465,672.13/24,287.68
  6. Step 6: Final answer
    x = 15,376.75

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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.