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Finding the Fourth Proportional to 17,635.22, 24,337.14 and 9,677.96

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Solution

The fourth proportional to 17,635.22, 24,337.14 and 9,677.96 is: 13,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,635.22 : 24,337.14 = 9,677.96 : x
  2. Step 2: Convert to fraction form
    17,635.22/24,337.14 = 9,677.96/x
  3. Step 3: Cross multiply
    17,635.22x = 24,337.14 × 9,677.96
  4. Step 4: Simplify right side
    17,635.22x = 235,533,867.43
  5. Step 5: Solve for x
    x = 235,533,867.43/17,635.22
  6. Step 6: Final answer
    x = 13,355.88

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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.