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Finding the Fourth Proportional to 22,702.44, 34,052.84 and 7,911.30

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Solution

The fourth proportional to 22,702.44, 34,052.84 and 7,911.30 is: 11,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.44 : 34,052.84 = 7,911.30 : x
  2. Step 2: Convert to fraction form
    22,702.44/34,052.84 = 7,911.30/x
  3. Step 3: Cross multiply
    22,702.44x = 34,052.84 × 7,911.30
  4. Step 4: Simplify right side
    22,702.44x = 269,402,193.54
  5. Step 5: Solve for x
    x = 269,402,193.54/22,702.44
  6. Step 6: Final answer
    x = 11,866.66

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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.