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Finding the Fourth Proportional to 17,916.48, 24,726.75 and 9,959.46

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Solution

The fourth proportional to 17,916.48, 24,726.75 and 9,959.46 is: 13,745.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,916.48 : 24,726.75 = 9,959.46 : x
  2. Step 2: Convert to fraction form
    17,916.48/24,726.75 = 9,959.46/x
  3. Step 3: Cross multiply
    17,916.48x = 24,726.75 × 9,959.46
  4. Step 4: Simplify right side
    17,916.48x = 246,265,077.56
  5. Step 5: Solve for x
    x = 246,265,077.56/17,916.48
  6. Step 6: Final answer
    x = 13,745.17

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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.