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Finding the Fourth Proportional to 17,645.53, 24,350.87 and 9,688.26

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Solution

The fourth proportional to 17,645.53, 24,350.87 and 9,688.26 is: 13,369.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.53 : 24,350.87 = 9,688.26 : x
  2. Step 2: Convert to fraction form
    17,645.53/24,350.87 = 9,688.26/x
  3. Step 3: Cross multiply
    17,645.53x = 24,350.87 × 9,688.26
  4. Step 4: Simplify right side
    17,645.53x = 235,917,559.79
  5. Step 5: Solve for x
    x = 235,917,559.79/17,645.53
  6. Step 6: Final answer
    x = 13,369.82

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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.