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Finding the Fourth Proportional to 23,874.89, 32,947.36 and 13,264.43

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Solution

The fourth proportional to 23,874.89, 32,947.36 and 13,264.43 is: 18,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.89 : 32,947.36 = 13,264.43 : x
  2. Step 2: Convert to fraction form
    23,874.89/32,947.36 = 13,264.43/x
  3. Step 3: Cross multiply
    23,874.89x = 32,947.36 × 13,264.43
  4. Step 4: Simplify right side
    23,874.89x = 437,027,752.51
  5. Step 5: Solve for x
    x = 437,027,752.51/23,874.89
  6. Step 6: Final answer
    x = 18,304.92

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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.