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Finding the Fourth Proportional to 13,662.71, 20,499.22 and 5,348.66

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Solution

The fourth proportional to 13,662.71, 20,499.22 and 5,348.66 is: 8,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,662.71 : 20,499.22 = 5,348.66 : x
  2. Step 2: Convert to fraction form
    13,662.71/20,499.22 = 5,348.66/x
  3. Step 3: Cross multiply
    13,662.71x = 20,499.22 × 5,348.66
  4. Step 4: Simplify right side
    13,662.71x = 109,643,395.92
  5. Step 5: Solve for x
    x = 109,643,395.92/13,662.71
  6. Step 6: Final answer
    x = 8,025.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.