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Finding the Fourth Proportional to 22,846.40, 34,304.80 and 12,478.40

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Solution

The fourth proportional to 22,846.40, 34,304.80 and 12,478.40 is: 18,736.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,846.40 : 34,304.80 = 12,478.40 : x
  2. Step 2: Convert to fraction form
    22,846.40/34,304.80 = 12,478.40/x
  3. Step 3: Cross multiply
    22,846.40x = 34,304.80 × 12,478.40
  4. Step 4: Simplify right side
    22,846.40x = 428,069,016.32
  5. Step 5: Solve for x
    x = 428,069,016.32/22,846.40
  6. Step 6: Final answer
    x = 18,736.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.