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Finding the Fourth Proportional to 17,726.57, 24,463.19 and 9,769.31

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Solution

The fourth proportional to 17,726.57, 24,463.19 and 9,769.31 is: 13,481.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,726.57 : 24,463.19 = 9,769.31 : x
  2. Step 2: Convert to fraction form
    17,726.57/24,463.19 = 9,769.31/x
  3. Step 3: Cross multiply
    17,726.57x = 24,463.19 × 9,769.31
  4. Step 4: Simplify right side
    17,726.57x = 238,988,486.70
  5. Step 5: Solve for x
    x = 238,988,486.70/17,726.57
  6. Step 6: Final answer
    x = 13,481.94

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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.