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Finding the Fourth Proportional to 11,227.95, 16,823.70 and 9,660.60

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Solution

The fourth proportional to 11,227.95, 16,823.70 and 9,660.60 is: 14,475.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.95 : 16,823.70 = 9,660.60 : x
  2. Step 2: Convert to fraction form
    11,227.95/16,823.70 = 9,660.60/x
  3. Step 3: Cross multiply
    11,227.95x = 16,823.70 × 9,660.60
  4. Step 4: Simplify right side
    11,227.95x = 162,527,036.22
  5. Step 5: Solve for x
    x = 162,527,036.22/11,227.95
  6. Step 6: Final answer
    x = 14,475.22

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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.