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Finding the Fourth Proportional to 14,911.20, 22,309.20 and 9,727.20

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Solution

The fourth proportional to 14,911.20, 22,309.20 and 9,727.20 is: 14,553.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,911.20 : 22,309.20 = 9,727.20 : x
  2. Step 2: Convert to fraction form
    14,911.20/22,309.20 = 9,727.20/x
  3. Step 3: Cross multiply
    14,911.20x = 22,309.20 × 9,727.20
  4. Step 4: Simplify right side
    14,911.20x = 217,006,050.24
  5. Step 5: Solve for x
    x = 217,006,050.24/14,911.20
  6. Step 6: Final answer
    x = 14,553.23

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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.