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Finding the Fourth Proportional to 13,920.80, 20,871.28 and 6,521.22

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Solution

The fourth proportional to 13,920.80, 20,871.28 and 6,521.22 is: 9,777.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.80 : 20,871.28 = 6,521.22 : x
  2. Step 2: Convert to fraction form
    13,920.80/20,871.28 = 6,521.22/x
  3. Step 3: Cross multiply
    13,920.80x = 20,871.28 × 6,521.22
  4. Step 4: Simplify right side
    13,920.80x = 136,106,175.96
  5. Step 5: Solve for x
    x = 136,106,175.96/13,920.80
  6. Step 6: Final answer
    x = 9,777.18

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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.