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Finding the Fourth Proportional to 17,634.45, 24,335.52 and 9,677.17

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Solution

The fourth proportional to 17,634.45, 24,335.52 and 9,677.17 is: 13,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.45 : 24,335.52 = 9,677.17 : x
  2. Step 2: Convert to fraction form
    17,634.45/24,335.52 = 9,677.17/x
  3. Step 3: Cross multiply
    17,634.45x = 24,335.52 × 9,677.17
  4. Step 4: Simplify right side
    17,634.45x = 235,498,964.08
  5. Step 5: Solve for x
    x = 235,498,964.08/17,634.45
  6. Step 6: Final answer
    x = 13,354.49

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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.