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Finding the Fourth Proportional to 16,209.67, 22,324.64 and 13,970.73

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Solution

The fourth proportional to 16,209.67, 22,324.64 and 13,970.73 is: 19,241.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,209.67 : 22,324.64 = 13,970.73 : x
  2. Step 2: Convert to fraction form
    16,209.67/22,324.64 = 13,970.73/x
  3. Step 3: Cross multiply
    16,209.67x = 22,324.64 × 13,970.73
  4. Step 4: Simplify right side
    16,209.67x = 311,891,517.79
  5. Step 5: Solve for x
    x = 311,891,517.79/16,209.67
  6. Step 6: Final answer
    x = 19,241.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.