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Finding the Fourth Proportional to 23,874.64, 32,947 and 13,265.24

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Solution

The fourth proportional to 23,874.64, 32,947 and 13,265.24 is: 18,306.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.64 : 32,947 = 13,265.24 : x
  2. Step 2: Convert to fraction form
    23,874.64/32,947 = 13,265.24/x
  3. Step 3: Cross multiply
    23,874.64x = 32,947 × 13,265.24
  4. Step 4: Simplify right side
    23,874.64x = 437,049,862.28
  5. Step 5: Solve for x
    x = 437,049,862.28/23,874.64
  6. Step 6: Final answer
    x = 18,306.03

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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.