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Finding the Fourth Proportional to 17,594.22, 24,278.76 and 9,635.16

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Solution

The fourth proportional to 17,594.22, 24,278.76 and 9,635.16 is: 13,295.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,594.22 : 24,278.76 = 9,635.16 : x
  2. Step 2: Convert to fraction form
    17,594.22/24,278.76 = 9,635.16/x
  3. Step 3: Cross multiply
    17,594.22x = 24,278.76 × 9,635.16
  4. Step 4: Simplify right side
    17,594.22x = 233,929,737.20
  5. Step 5: Solve for x
    x = 233,929,737.20/17,594.22
  6. Step 6: Final answer
    x = 13,295.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.