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Finding the Fourth Proportional to 27,439.84, 41,154.96 and 7,713.71

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Solution

The fourth proportional to 27,439.84, 41,154.96 and 7,713.71 is: 11,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,439.84 : 41,154.96 = 7,713.71 : x
  2. Step 2: Convert to fraction form
    27,439.84/41,154.96 = 7,713.71/x
  3. Step 3: Cross multiply
    27,439.84x = 41,154.96 × 7,713.71
  4. Step 4: Simplify right side
    27,439.84x = 317,457,403.98
  5. Step 5: Solve for x
    x = 317,457,403.98/27,439.84
  6. Step 6: Final answer
    x = 11,569.21

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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.