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Finding the Fourth Proportional to 17,642.05, 24,346.31 and 9,685

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Solution

The fourth proportional to 17,642.05, 24,346.31 and 9,685 is: 13,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,642.05 : 24,346.31 = 9,685 : x
  2. Step 2: Convert to fraction form
    17,642.05/24,346.31 = 9,685/x
  3. Step 3: Cross multiply
    17,642.05x = 24,346.31 × 9,685
  4. Step 4: Simplify right side
    17,642.05x = 235,793,963.93
  5. Step 5: Solve for x
    x = 235,793,963.93/17,642.05
  6. Step 6: Final answer
    x = 13,365.45

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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.