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Finding the Fourth Proportional to 14,507.46, 20,019.09 and 8,132.55

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Solution

The fourth proportional to 14,507.46, 20,019.09 and 8,132.55 is: 11,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,507.46 : 20,019.09 = 8,132.55 : x
  2. Step 2: Convert to fraction form
    14,507.46/20,019.09 = 8,132.55/x
  3. Step 3: Cross multiply
    14,507.46x = 20,019.09 × 8,132.55
  4. Step 4: Simplify right side
    14,507.46x = 162,806,250.38
  5. Step 5: Solve for x
    x = 162,806,250.38/14,507.46
  6. Step 6: Final answer
    x = 11,222.24

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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.