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Finding the Fourth Proportional to 17,671.56, 24,385.96 and 9,713.28

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Solution

The fourth proportional to 17,671.56, 24,385.96 and 9,713.28 is: 13,403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.56 : 24,385.96 = 9,713.28 : x
  2. Step 2: Convert to fraction form
    17,671.56/24,385.96 = 9,713.28/x
  3. Step 3: Cross multiply
    17,671.56x = 24,385.96 × 9,713.28
  4. Step 4: Simplify right side
    17,671.56x = 236,867,657.55
  5. Step 5: Solve for x
    x = 236,867,657.55/17,671.56
  6. Step 6: Final answer
    x = 13,403.89

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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.