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Finding the Fourth Proportional to 26,870.54, 40,305.91 and 8,150.74

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Solution

The fourth proportional to 26,870.54, 40,305.91 and 8,150.74 is: 12,226.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,870.54 : 40,305.91 = 8,150.74 : x
  2. Step 2: Convert to fraction form
    26,870.54/40,305.91 = 8,150.74/x
  3. Step 3: Cross multiply
    26,870.54x = 40,305.91 × 8,150.74
  4. Step 4: Simplify right side
    26,870.54x = 328,522,972.50
  5. Step 5: Solve for x
    x = 328,522,972.50/26,870.54
  6. Step 6: Final answer
    x = 12,226.14

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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.