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Finding the Fourth Proportional to 22,752.80, 34,107.16 and 8,702.02

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Solution

The fourth proportional to 22,752.80, 34,107.16 and 8,702.02 is: 13,044.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,752.80 : 34,107.16 = 8,702.02 : x
  2. Step 2: Convert to fraction form
    22,752.80/34,107.16 = 8,702.02/x
  3. Step 3: Cross multiply
    22,752.80x = 34,107.16 × 8,702.02
  4. Step 4: Simplify right side
    22,752.80x = 296,801,033.81
  5. Step 5: Solve for x
    x = 296,801,033.81/22,752.80
  6. Step 6: Final answer
    x = 13,044.59

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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.