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Finding the Fourth Proportional to 13,943.64, 20,909.32 and 6,550.20

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Solution

The fourth proportional to 13,943.64, 20,909.32 and 6,550.20 is: 9,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,943.64 : 20,909.32 = 6,550.20 : x
  2. Step 2: Convert to fraction form
    13,943.64/20,909.32 = 6,550.20/x
  3. Step 3: Cross multiply
    13,943.64x = 20,909.32 × 6,550.20
  4. Step 4: Simplify right side
    13,943.64x = 136,960,227.86
  5. Step 5: Solve for x
    x = 136,960,227.86/13,943.64
  6. Step 6: Final answer
    x = 9,822.42

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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.