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Finding the Fourth Proportional to 13,509.66, 20,227.23 and 6,921.66

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Solution

The fourth proportional to 13,509.66, 20,227.23 and 6,921.66 is: 10,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,509.66 : 20,227.23 = 6,921.66 : x
  2. Step 2: Convert to fraction form
    13,509.66/20,227.23 = 6,921.66/x
  3. Step 3: Cross multiply
    13,509.66x = 20,227.23 × 6,921.66
  4. Step 4: Simplify right side
    13,509.66x = 140,006,008.80
  5. Step 5: Solve for x
    x = 140,006,008.80/13,509.66
  6. Step 6: Final answer
    x = 10,363.40

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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.