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Finding the Fourth Proportional to 22,778.72, 34,148.64 and 8,924.48

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Solution

The fourth proportional to 22,778.72, 34,148.64 and 8,924.48 is: 13,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,778.72 : 34,148.64 = 8,924.48 : x
  2. Step 2: Convert to fraction form
    22,778.72/34,148.64 = 8,924.48/x
  3. Step 3: Cross multiply
    22,778.72x = 34,148.64 × 8,924.48
  4. Step 4: Simplify right side
    22,778.72x = 304,758,854.71
  5. Step 5: Solve for x
    x = 304,758,854.71/22,778.72
  6. Step 6: Final answer
    x = 13,379.10

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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.