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Finding the Fourth Proportional to 27,888, 41,835.90 and 8,167.98

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Solution

The fourth proportional to 27,888, 41,835.90 and 8,167.98 is: 12,253.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,888 : 41,835.90 = 8,167.98 : x
  2. Step 2: Convert to fraction form
    27,888/41,835.90 = 8,167.98/x
  3. Step 3: Cross multiply
    27,888x = 41,835.90 × 8,167.98
  4. Step 4: Simplify right side
    27,888x = 341,714,794.48
  5. Step 5: Solve for x
    x = 341,714,794.48/27,888
  6. Step 6: Final answer
    x = 12,253.11

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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.