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Finding the Fourth Proportional to 11,227.96, 16,830.70 and 9,259.66

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Solution

The fourth proportional to 11,227.96, 16,830.70 and 9,259.66 is: 13,880.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.96 : 16,830.70 = 9,259.66 : x
  2. Step 2: Convert to fraction form
    11,227.96/16,830.70 = 9,259.66/x
  3. Step 3: Cross multiply
    11,227.96x = 16,830.70 × 9,259.66
  4. Step 4: Simplify right side
    11,227.96x = 155,846,494.34
  5. Step 5: Solve for x
    x = 155,846,494.34/11,227.96
  6. Step 6: Final answer
    x = 13,880.22

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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.