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Finding the Fourth Proportional to 25,677.78, 38,516.55 and 8,148.98

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Solution

The fourth proportional to 25,677.78, 38,516.55 and 8,148.98 is: 12,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,677.78 : 38,516.55 = 8,148.98 : x
  2. Step 2: Convert to fraction form
    25,677.78/38,516.55 = 8,148.98/x
  3. Step 3: Cross multiply
    25,677.78x = 38,516.55 × 8,148.98
  4. Step 4: Simplify right side
    25,677.78x = 313,870,595.62
  5. Step 5: Solve for x
    x = 313,870,595.62/25,677.78
  6. Step 6: Final answer
    x = 12,223.43

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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.