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Finding the Fourth Proportional to 24,785.68, 37,189.42 and 10,023.40

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Solution

The fourth proportional to 24,785.68, 37,189.42 and 10,023.40 is: 15,039.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,785.68 : 37,189.42 = 10,023.40 : x
  2. Step 2: Convert to fraction form
    24,785.68/37,189.42 = 10,023.40/x
  3. Step 3: Cross multiply
    24,785.68x = 37,189.42 × 10,023.40
  4. Step 4: Simplify right side
    24,785.68x = 372,764,432.43
  5. Step 5: Solve for x
    x = 372,764,432.43/24,785.68
  6. Step 6: Final answer
    x = 15,039.51

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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.