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Finding the Fourth Proportional to 27,807.16, 41,713.02 and 8,085.70

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Solution

The fourth proportional to 27,807.16, 41,713.02 and 8,085.70 is: 12,129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.16 : 41,713.02 = 8,085.70 : x
  2. Step 2: Convert to fraction form
    27,807.16/41,713.02 = 8,085.70/x
  3. Step 3: Cross multiply
    27,807.16x = 41,713.02 × 8,085.70
  4. Step 4: Simplify right side
    27,807.16x = 337,278,965.81
  5. Step 5: Solve for x
    x = 337,278,965.81/27,807.16
  6. Step 6: Final answer
    x = 12,129.21

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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.