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Finding the Fourth Proportional to 17,634.80, 24,337.11 and 9,678.17

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Solution

The fourth proportional to 17,634.80, 24,337.11 and 9,678.17 is: 13,356.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,634.80 : 24,337.11 = 9,678.17 : x
  2. Step 2: Convert to fraction form
    17,634.80/24,337.11 = 9,678.17/x
  3. Step 3: Cross multiply
    17,634.80x = 24,337.11 × 9,678.17
  4. Step 4: Simplify right side
    17,634.80x = 235,538,566.20
  5. Step 5: Solve for x
    x = 235,538,566.20/17,634.80
  6. Step 6: Final answer
    x = 13,356.47

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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.