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Finding the Fourth Proportional to 22,835.16, 34,166.52 and 13,480.26

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Solution

The fourth proportional to 22,835.16, 34,166.52 and 13,480.26 is: 20,169.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,835.16 : 34,166.52 = 13,480.26 : x
  2. Step 2: Convert to fraction form
    22,835.16/34,166.52 = 13,480.26/x
  3. Step 3: Cross multiply
    22,835.16x = 34,166.52 × 13,480.26
  4. Step 4: Simplify right side
    22,835.16x = 460,573,572.90
  5. Step 5: Solve for x
    x = 460,573,572.90/22,835.16
  6. Step 6: Final answer
    x = 20,169.49

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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.