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Finding the Fourth Proportional to 28,200.72, 38,863.40 and 20,229.14

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Solution

The fourth proportional to 28,200.72, 38,863.40 and 20,229.14 is: 27,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,200.72 : 38,863.40 = 20,229.14 : x
  2. Step 2: Convert to fraction form
    28,200.72/38,863.40 = 20,229.14/x
  3. Step 3: Cross multiply
    28,200.72x = 38,863.40 × 20,229.14
  4. Step 4: Simplify right side
    28,200.72x = 786,173,159.48
  5. Step 5: Solve for x
    x = 786,173,159.48/28,200.72
  6. Step 6: Final answer
    x = 27,877.77

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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.