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Finding the Fourth Proportional to 17,642.38, 26,473.96 and 7,117.42

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Solution

The fourth proportional to 17,642.38, 26,473.96 and 7,117.42 is: 10,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.38 : 26,473.96 = 7,117.42 : x
  2. Step 2: Convert to fraction form
    17,642.38/26,473.96 = 7,117.42/x
  3. Step 3: Cross multiply
    17,642.38x = 26,473.96 × 7,117.42
  4. Step 4: Simplify right side
    17,642.38x = 188,426,292.38
  5. Step 5: Solve for x
    x = 188,426,292.38/17,642.38
  6. Step 6: Final answer
    x = 10,680.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.