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Finding the Fourth Proportional to 26,845.16, 40,262.70 and 9,311.40

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Solution

The fourth proportional to 26,845.16, 40,262.70 and 9,311.40 is: 13,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,845.16 : 40,262.70 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    26,845.16/40,262.70 = 9,311.40/x
  3. Step 3: Cross multiply
    26,845.16x = 40,262.70 × 9,311.40
  4. Step 4: Simplify right side
    26,845.16x = 374,902,104.78
  5. Step 5: Solve for x
    x = 374,902,104.78/26,845.16
  6. Step 6: Final answer
    x = 13,965.35

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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.