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Finding the Fourth Proportional to 28,545.27, 42,822 and 8,825.36

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Solution

The fourth proportional to 28,545.27, 42,822 and 8,825.36 is: 13,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,545.27 : 42,822 = 8,825.36 : x
  2. Step 2: Convert to fraction form
    28,545.27/42,822 = 8,825.36/x
  3. Step 3: Cross multiply
    28,545.27x = 42,822 × 8,825.36
  4. Step 4: Simplify right side
    28,545.27x = 377,919,565.92
  5. Step 5: Solve for x
    x = 377,919,565.92/28,545.27
  6. Step 6: Final answer
    x = 13,239.31

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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.