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Finding the Fourth Proportional to 27,807.29, 41,718.05 and 8,085.85

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Solution

The fourth proportional to 27,807.29, 41,718.05 and 8,085.85 is: 12,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.29 : 41,718.05 = 8,085.85 : x
  2. Step 2: Convert to fraction form
    27,807.29/41,718.05 = 8,085.85/x
  3. Step 3: Cross multiply
    27,807.29x = 41,718.05 × 8,085.85
  4. Step 4: Simplify right side
    27,807.29x = 337,325,894.59
  5. Step 5: Solve for x
    x = 337,325,894.59/27,807.29
  6. Step 6: Final answer
    x = 12,130.85

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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.