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Finding the Fourth Proportional to 22,707.50, 34,065.70 and 7,916.90

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Solution

The fourth proportional to 22,707.50, 34,065.70 and 7,916.90 is: 11,876.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,707.50 : 34,065.70 = 7,916.90 : x
  2. Step 2: Convert to fraction form
    22,707.50/34,065.70 = 7,916.90/x
  3. Step 3: Cross multiply
    22,707.50x = 34,065.70 × 7,916.90
  4. Step 4: Simplify right side
    22,707.50x = 269,694,740.33
  5. Step 5: Solve for x
    x = 269,694,740.33/22,707.50
  6. Step 6: Final answer
    x = 11,876.90

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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.