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Finding the Fourth Proportional to 27,838.02, 41,758.45 and 8,118.07

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Solution

The fourth proportional to 27,838.02, 41,758.45 and 8,118.07 is: 12,177.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.02 : 41,758.45 = 8,118.07 : x
  2. Step 2: Convert to fraction form
    27,838.02/41,758.45 = 8,118.07/x
  3. Step 3: Cross multiply
    27,838.02x = 41,758.45 × 8,118.07
  4. Step 4: Simplify right side
    27,838.02x = 338,997,895.50
  5. Step 5: Solve for x
    x = 338,997,895.50/27,838.02
  6. Step 6: Final answer
    x = 12,177.51

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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.