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Finding the Fourth Proportional to 23,874.64, 32,947 and 13,265.28

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Solution

The fourth proportional to 23,874.64, 32,947 and 13,265.28 is: 18,306.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,874.64 : 32,947 = 13,265.28 : x
  2. Step 2: Convert to fraction form
    23,874.64/32,947 = 13,265.28/x
  3. Step 3: Cross multiply
    23,874.64x = 32,947 × 13,265.28
  4. Step 4: Simplify right side
    23,874.64x = 437,051,180.16
  5. Step 5: Solve for x
    x = 437,051,180.16/23,874.64
  6. Step 6: Final answer
    x = 18,306.08

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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.