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Finding the Fourth Proportional to 12,145.17, 18,211.50 and 5,565.72

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Solution

The fourth proportional to 12,145.17, 18,211.50 and 5,565.72 is: 8,345.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.17 : 18,211.50 = 5,565.72 : x
  2. Step 2: Convert to fraction form
    12,145.17/18,211.50 = 5,565.72/x
  3. Step 3: Cross multiply
    12,145.17x = 18,211.50 × 5,565.72
  4. Step 4: Simplify right side
    12,145.17x = 101,360,109.78
  5. Step 5: Solve for x
    x = 101,360,109.78/12,145.17
  6. Step 6: Final answer
    x = 8,345.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.