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Finding the Fourth Proportional to 23,473.70, 32,394.49 and 12,863.24

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Solution

The fourth proportional to 23,473.70, 32,394.49 and 12,863.24 is: 17,751.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.70 : 32,394.49 = 12,863.24 : x
  2. Step 2: Convert to fraction form
    23,473.70/32,394.49 = 12,863.24/x
  3. Step 3: Cross multiply
    23,473.70x = 32,394.49 × 12,863.24
  4. Step 4: Simplify right side
    23,473.70x = 416,697,937.58
  5. Step 5: Solve for x
    x = 416,697,937.58/23,473.70
  6. Step 6: Final answer
    x = 17,751.70

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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.