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Finding the Fourth Proportional to 26,149.83, 39,224.75 and 9,506.76

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Solution

The fourth proportional to 26,149.83, 39,224.75 and 9,506.76 is: 14,260.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,149.83 : 39,224.75 = 9,506.76 : x
  2. Step 2: Convert to fraction form
    26,149.83/39,224.75 = 9,506.76/x
  3. Step 3: Cross multiply
    26,149.83x = 39,224.75 × 9,506.76
  4. Step 4: Simplify right side
    26,149.83x = 372,900,236.78
  5. Step 5: Solve for x
    x = 372,900,236.78/26,149.83
  6. Step 6: Final answer
    x = 14,260.14

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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.