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Finding the Fourth Proportional to 23,218.80, 34,843.14 and 8,426.40

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Solution

The fourth proportional to 23,218.80, 34,843.14 and 8,426.40 is: 12,645.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,218.80 : 34,843.14 = 8,426.40 : x
  2. Step 2: Convert to fraction form
    23,218.80/34,843.14 = 8,426.40/x
  3. Step 3: Cross multiply
    23,218.80x = 34,843.14 × 8,426.40
  4. Step 4: Simplify right side
    23,218.80x = 293,602,234.90
  5. Step 5: Solve for x
    x = 293,602,234.90/23,218.80
  6. Step 6: Final answer
    x = 12,645.02

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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.