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Finding the Fourth Proportional to 14,174.18, 19,560.40 and 8,206.18

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Solution

The fourth proportional to 14,174.18, 19,560.40 and 8,206.18 is: 11,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.18 : 19,560.40 = 8,206.18 : x
  2. Step 2: Convert to fraction form
    14,174.18/19,560.40 = 8,206.18/x
  3. Step 3: Cross multiply
    14,174.18x = 19,560.40 × 8,206.18
  4. Step 4: Simplify right side
    14,174.18x = 160,516,163.27
  5. Step 5: Solve for x
    x = 160,516,163.27/14,174.18
  6. Step 6: Final answer
    x = 11,324.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.