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Finding the Fourth Proportional to 22,915.74, 34,377.93 and 9,065.82

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Solution

The fourth proportional to 22,915.74, 34,377.93 and 9,065.82 is: 13,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,915.74 : 34,377.93 = 9,065.82 : x
  2. Step 2: Convert to fraction form
    22,915.74/34,377.93 = 9,065.82/x
  3. Step 3: Cross multiply
    22,915.74x = 34,377.93 × 9,065.82
  4. Step 4: Simplify right side
    22,915.74x = 311,664,125.35
  5. Step 5: Solve for x
    x = 311,664,125.35/22,915.74
  6. Step 6: Final answer
    x = 13,600.44

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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.