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Finding the Fourth Proportional to 15,635.68, 23,447.42 and 5,637.72

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Solution

The fourth proportional to 15,635.68, 23,447.42 and 5,637.72 is: 8,454.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,635.68 : 23,447.42 = 5,637.72 : x
  2. Step 2: Convert to fraction form
    15,635.68/23,447.42 = 5,637.72/x
  3. Step 3: Cross multiply
    15,635.68x = 23,447.42 × 5,637.72
  4. Step 4: Simplify right side
    15,635.68x = 132,189,988.68
  5. Step 5: Solve for x
    x = 132,189,988.68/15,635.68
  6. Step 6: Final answer
    x = 8,454.38

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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.