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Finding the Fourth Proportional to 13,867.65, 20,809.71 and 5,108.71

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Solution

The fourth proportional to 13,867.65, 20,809.71 and 5,108.71 is: 7,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,867.65 : 20,809.71 = 5,108.71 : x
  2. Step 2: Convert to fraction form
    13,867.65/20,809.71 = 5,108.71/x
  3. Step 3: Cross multiply
    13,867.65x = 20,809.71 × 5,108.71
  4. Step 4: Simplify right side
    13,867.65x = 106,310,773.57
  5. Step 5: Solve for x
    x = 106,310,773.57/13,867.65
  6. Step 6: Final answer
    x = 7,666.10

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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.