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Finding the Fourth Proportional to 13,998.60, 20,998.71 and 5,678.28

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Solution

The fourth proportional to 13,998.60, 20,998.71 and 5,678.28 is: 8,517.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,998.60 : 20,998.71 = 5,678.28 : x
  2. Step 2: Convert to fraction form
    13,998.60/20,998.71 = 5,678.28/x
  3. Step 3: Cross multiply
    13,998.60x = 20,998.71 × 5,678.28
  4. Step 4: Simplify right side
    13,998.60x = 119,236,555.02
  5. Step 5: Solve for x
    x = 119,236,555.02/13,998.60
  6. Step 6: Final answer
    x = 8,517.75

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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.