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Finding the Fourth Proportional to 10,814.60, 16,221.90 and 9,864.20

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Solution

The fourth proportional to 10,814.60, 16,221.90 and 9,864.20 is: 14,796.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,814.60 : 16,221.90 = 9,864.20 : x
  2. Step 2: Convert to fraction form
    10,814.60/16,221.90 = 9,864.20/x
  3. Step 3: Cross multiply
    10,814.60x = 16,221.90 × 9,864.20
  4. Step 4: Simplify right side
    10,814.60x = 160,016,065.98
  5. Step 5: Solve for x
    x = 160,016,065.98/10,814.60
  6. Step 6: Final answer
    x = 14,796.30

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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.