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Finding the Fourth Proportional to 15,891.12, 23,836.32 and 9,358.74

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Solution

The fourth proportional to 15,891.12, 23,836.32 and 9,358.74 is: 14,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,891.12 : 23,836.32 = 9,358.74 : x
  2. Step 2: Convert to fraction form
    15,891.12/23,836.32 = 9,358.74/x
  3. Step 3: Cross multiply
    15,891.12x = 23,836.32 × 9,358.74
  4. Step 4: Simplify right side
    15,891.12x = 223,077,921.44
  5. Step 5: Solve for x
    x = 223,077,921.44/15,891.12
  6. Step 6: Final answer
    x = 14,037.90

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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.