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Finding the Fourth Proportional to 23,425.70, 32,327.45 and 12,815.40

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Solution

The fourth proportional to 23,425.70, 32,327.45 and 12,815.40 is: 17,685.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,425.70 : 32,327.45 = 12,815.40 : x
  2. Step 2: Convert to fraction form
    23,425.70/32,327.45 = 12,815.40/x
  3. Step 3: Cross multiply
    23,425.70x = 32,327.45 × 12,815.40
  4. Step 4: Simplify right side
    23,425.70x = 414,289,138.65
  5. Step 5: Solve for x
    x = 414,289,138.65/23,425.70
  6. Step 6: Final answer
    x = 17,685.24

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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.