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Finding the Fourth Proportional to 15,694.64, 23,542.96 and 4,601.12

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Solution

The fourth proportional to 15,694.64, 23,542.96 and 4,601.12 is: 6,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,694.64 : 23,542.96 = 4,601.12 : x
  2. Step 2: Convert to fraction form
    15,694.64/23,542.96 = 4,601.12/x
  3. Step 3: Cross multiply
    15,694.64x = 23,542.96 × 4,601.12
  4. Step 4: Simplify right side
    15,694.64x = 108,323,984.12
  5. Step 5: Solve for x
    x = 108,323,984.12/15,694.64
  6. Step 6: Final answer
    x = 6,901.97

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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.