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Finding the Fourth Proportional to 22,711.67, 34,055.14 and 7,916.61

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Solution

The fourth proportional to 22,711.67, 34,055.14 and 7,916.61 is: 11,870.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,711.67 : 34,055.14 = 7,916.61 : x
  2. Step 2: Convert to fraction form
    22,711.67/34,055.14 = 7,916.61/x
  3. Step 3: Cross multiply
    22,711.67x = 34,055.14 × 7,916.61
  4. Step 4: Simplify right side
    22,711.67x = 269,601,261.88
  5. Step 5: Solve for x
    x = 269,601,261.88/22,711.67
  6. Step 6: Final answer
    x = 11,870.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.