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Finding the Fourth Proportional to 26,539.38, 36,626.04 and 15,781.32

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Solution

The fourth proportional to 26,539.38, 36,626.04 and 15,781.32 is: 21,779.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,539.38 : 36,626.04 = 15,781.32 : x
  2. Step 2: Convert to fraction form
    26,539.38/36,626.04 = 15,781.32/x
  3. Step 3: Cross multiply
    26,539.38x = 36,626.04 × 15,781.32
  4. Step 4: Simplify right side
    26,539.38x = 578,007,257.57
  5. Step 5: Solve for x
    x = 578,007,257.57/26,539.38
  6. Step 6: Final answer
    x = 21,779.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.