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Finding the Fourth Proportional to 27,838.98, 41,758.47 and 8,117.10

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Solution

The fourth proportional to 27,838.98, 41,758.47 and 8,117.10 is: 12,175.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.98 : 41,758.47 = 8,117.10 : x
  2. Step 2: Convert to fraction form
    27,838.98/41,758.47 = 8,117.10/x
  3. Step 3: Cross multiply
    27,838.98x = 41,758.47 × 8,117.10
  4. Step 4: Simplify right side
    27,838.98x = 338,957,676.84
  5. Step 5: Solve for x
    x = 338,957,676.84/27,838.98
  6. Step 6: Final answer
    x = 12,175.65

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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.