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Finding the Fourth Proportional to 22,774.74, 34,138.71 and 8,730.96

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Solution

The fourth proportional to 22,774.74, 34,138.71 and 8,730.96 is: 13,087.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,774.74 : 34,138.71 = 8,730.96 : x
  2. Step 2: Convert to fraction form
    22,774.74/34,138.71 = 8,730.96/x
  3. Step 3: Cross multiply
    22,774.74x = 34,138.71 × 8,730.96
  4. Step 4: Simplify right side
    22,774.74x = 298,063,711.46
  5. Step 5: Solve for x
    x = 298,063,711.46/22,774.74
  6. Step 6: Final answer
    x = 13,087.47

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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.