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Finding the Fourth Proportional to 22,702.41, 34,046.38 and 7,502.15

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Solution

The fourth proportional to 22,702.41, 34,046.38 and 7,502.15 is: 11,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.41 : 34,046.38 = 7,502.15 : x
  2. Step 2: Convert to fraction form
    22,702.41/34,046.38 = 7,502.15/x
  3. Step 3: Cross multiply
    22,702.41x = 34,046.38 × 7,502.15
  4. Step 4: Simplify right side
    22,702.41x = 255,421,063.69
  5. Step 5: Solve for x
    x = 255,421,063.69/22,702.41
  6. Step 6: Final answer
    x = 11,250.83

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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.