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Finding the Fourth Proportional to 20,502.72, 28,293.10 and 11,549.69

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Solution

The fourth proportional to 20,502.72, 28,293.10 and 11,549.69 is: 15,938.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,502.72 : 28,293.10 = 11,549.69 : x
  2. Step 2: Convert to fraction form
    20,502.72/28,293.10 = 11,549.69/x
  3. Step 3: Cross multiply
    20,502.72x = 28,293.10 × 11,549.69
  4. Step 4: Simplify right side
    20,502.72x = 326,776,469.90
  5. Step 5: Solve for x
    x = 326,776,469.90/20,502.72
  6. Step 6: Final answer
    x = 15,938.20

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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.