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Finding the Fourth Proportional to 13,380.80, 20,032.80 and 11,998.40

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Solution

The fourth proportional to 13,380.80, 20,032.80 and 11,998.40 is: 17,963.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,380.80 : 20,032.80 = 11,998.40 : x
  2. Step 2: Convert to fraction form
    13,380.80/20,032.80 = 11,998.40/x
  3. Step 3: Cross multiply
    13,380.80x = 20,032.80 × 11,998.40
  4. Step 4: Simplify right side
    13,380.80x = 240,361,547.52
  5. Step 5: Solve for x
    x = 240,361,547.52/13,380.80
  6. Step 6: Final answer
    x = 17,963.17

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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.