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Finding the Fourth Proportional to 27,614.32, 41,428.11 and 8,896.13

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Solution

The fourth proportional to 27,614.32, 41,428.11 and 8,896.13 is: 13,346.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,614.32 : 41,428.11 = 8,896.13 : x
  2. Step 2: Convert to fraction form
    27,614.32/41,428.11 = 8,896.13/x
  3. Step 3: Cross multiply
    27,614.32x = 41,428.11 × 8,896.13
  4. Step 4: Simplify right side
    27,614.32x = 368,549,783.75
  5. Step 5: Solve for x
    x = 368,549,783.75/27,614.32
  6. Step 6: Final answer
    x = 13,346.33

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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.