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Finding the Fourth Proportional to 10,833.80, 16,218.30 and 9,667.40

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Solution

The fourth proportional to 10,833.80, 16,218.30 and 9,667.40 is: 14,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,833.80 : 16,218.30 = 9,667.40 : x
  2. Step 2: Convert to fraction form
    10,833.80/16,218.30 = 9,667.40/x
  3. Step 3: Cross multiply
    10,833.80x = 16,218.30 × 9,667.40
  4. Step 4: Simplify right side
    10,833.80x = 156,788,793.42
  5. Step 5: Solve for x
    x = 156,788,793.42/10,833.80
  6. Step 6: Final answer
    x = 14,472.19

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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.