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Finding the Fourth Proportional to 23,474.40, 32,394.66 and 12,864.30

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Solution

The fourth proportional to 23,474.40, 32,394.66 and 12,864.30 is: 17,752.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,474.40 : 32,394.66 = 12,864.30 : x
  2. Step 2: Convert to fraction form
    23,474.40/32,394.66 = 12,864.30/x
  3. Step 3: Cross multiply
    23,474.40x = 32,394.66 × 12,864.30
  4. Step 4: Simplify right side
    23,474.40x = 416,734,624.64
  5. Step 5: Solve for x
    x = 416,734,624.64/23,474.40
  6. Step 6: Final answer
    x = 17,752.73

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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.