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Finding the Fourth Proportional to 27,428.56, 41,142.90 and 9,910.76

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Solution

The fourth proportional to 27,428.56, 41,142.90 and 9,910.76 is: 14,866.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,428.56 : 41,142.90 = 9,910.76 : x
  2. Step 2: Convert to fraction form
    27,428.56/41,142.90 = 9,910.76/x
  3. Step 3: Cross multiply
    27,428.56x = 41,142.90 × 9,910.76
  4. Step 4: Simplify right side
    27,428.56x = 407,757,407.60
  5. Step 5: Solve for x
    x = 407,757,407.60/27,428.56
  6. Step 6: Final answer
    x = 14,866.16

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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.