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Finding the Fourth Proportional to 11,231.40, 16,822.80 and 10,000.20

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Solution

The fourth proportional to 11,231.40, 16,822.80 and 10,000.20 is: 14,978.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.40 : 16,822.80 = 10,000.20 : x
  2. Step 2: Convert to fraction form
    11,231.40/16,822.80 = 10,000.20/x
  3. Step 3: Cross multiply
    11,231.40x = 16,822.80 × 10,000.20
  4. Step 4: Simplify right side
    11,231.40x = 168,231,364.56
  5. Step 5: Solve for x
    x = 168,231,364.56/11,231.40
  6. Step 6: Final answer
    x = 14,978.66

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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.