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Finding the Fourth Proportional to 27,340.96, 41,016.92 and 9,812.16

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Solution

The fourth proportional to 27,340.96, 41,016.92 and 9,812.16 is: 14,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,340.96 : 41,016.92 = 9,812.16 : x
  2. Step 2: Convert to fraction form
    27,340.96/41,016.92 = 9,812.16/x
  3. Step 3: Cross multiply
    27,340.96x = 41,016.92 × 9,812.16
  4. Step 4: Simplify right side
    27,340.96x = 402,464,581.75
  5. Step 5: Solve for x
    x = 402,464,581.75/27,340.96
  6. Step 6: Final answer
    x = 14,720.21

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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.