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Finding the Fourth Proportional to 17,920.47, 24,741.30 and 11,549.31

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Solution

The fourth proportional to 17,920.47, 24,741.30 and 11,549.31 is: 15,945.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,920.47 : 24,741.30 = 11,549.31 : x
  2. Step 2: Convert to fraction form
    17,920.47/24,741.30 = 11,549.31/x
  3. Step 3: Cross multiply
    17,920.47x = 24,741.30 × 11,549.31
  4. Step 4: Simplify right side
    17,920.47x = 285,744,943.50
  5. Step 5: Solve for x
    x = 285,744,943.50/17,920.47
  6. Step 6: Final answer
    x = 15,945.17

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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.