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Finding the Fourth Proportional to 17,683.98, 24,403.32 and 9,726.18

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Solution

The fourth proportional to 17,683.98, 24,403.32 and 9,726.18 is: 13,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,683.98 : 24,403.32 = 9,726.18 : x
  2. Step 2: Convert to fraction form
    17,683.98/24,403.32 = 9,726.18/x
  3. Step 3: Cross multiply
    17,683.98x = 24,403.32 × 9,726.18
  4. Step 4: Simplify right side
    17,683.98x = 237,351,082.92
  5. Step 5: Solve for x
    x = 237,351,082.92/17,683.98
  6. Step 6: Final answer
    x = 13,421.81

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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.