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Finding the Fourth Proportional to 23,473.60, 32,394.13 and 12,863.81

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Solution

The fourth proportional to 23,473.60, 32,394.13 and 12,863.81 is: 17,752.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,473.60 : 32,394.13 = 12,863.81 : x
  2. Step 2: Convert to fraction form
    23,473.60/32,394.13 = 12,863.81/x
  3. Step 3: Cross multiply
    23,473.60x = 32,394.13 × 12,863.81
  4. Step 4: Simplify right side
    23,473.60x = 416,711,982.26
  5. Step 5: Solve for x
    x = 416,711,982.26/23,473.60
  6. Step 6: Final answer
    x = 17,752.37

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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.