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Finding the Fourth Proportional to 27,916.46, 41,881.16 and 9,195.82

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Solution

The fourth proportional to 27,916.46, 41,881.16 and 9,195.82 is: 13,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,916.46 : 41,881.16 = 9,195.82 : x
  2. Step 2: Convert to fraction form
    27,916.46/41,881.16 = 9,195.82/x
  3. Step 3: Cross multiply
    27,916.46x = 41,881.16 × 9,195.82
  4. Step 4: Simplify right side
    27,916.46x = 385,131,562.77
  5. Step 5: Solve for x
    x = 385,131,562.77/27,916.46
  6. Step 6: Final answer
    x = 13,795.86

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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.