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Finding the Fourth Proportional to 27,419.66, 41,146.42 and 10,776.78

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Solution

The fourth proportional to 27,419.66, 41,146.42 and 10,776.78 is: 16,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.66 : 41,146.42 = 10,776.78 : x
  2. Step 2: Convert to fraction form
    27,419.66/41,146.42 = 10,776.78/x
  3. Step 3: Cross multiply
    27,419.66x = 41,146.42 × 10,776.78
  4. Step 4: Simplify right side
    27,419.66x = 443,425,916.13
  5. Step 5: Solve for x
    x = 443,425,916.13/27,419.66
  6. Step 6: Final answer
    x = 16,171.82

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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.