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Finding the Fourth Proportional to 26,185.76, 39,265.92 and 9,543.20

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Solution

The fourth proportional to 26,185.76, 39,265.92 and 9,543.20 is: 14,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,185.76 : 39,265.92 = 9,543.20 : x
  2. Step 2: Convert to fraction form
    26,185.76/39,265.92 = 9,543.20/x
  3. Step 3: Cross multiply
    26,185.76x = 39,265.92 × 9,543.20
  4. Step 4: Simplify right side
    26,185.76x = 374,722,527.74
  5. Step 5: Solve for x
    x = 374,722,527.74/26,185.76
  6. Step 6: Final answer
    x = 14,310.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.