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Finding the Fourth Proportional to 20,765.63, 28,646.59 and 13,592.38

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Solution

The fourth proportional to 20,765.63, 28,646.59 and 13,592.38 is: 18,750.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.63 : 28,646.59 = 13,592.38 : x
  2. Step 2: Convert to fraction form
    20,765.63/28,646.59 = 13,592.38/x
  3. Step 3: Cross multiply
    20,765.63x = 28,646.59 × 13,592.38
  4. Step 4: Simplify right side
    20,765.63x = 389,375,329.70
  5. Step 5: Solve for x
    x = 389,375,329.70/20,765.63
  6. Step 6: Final answer
    x = 18,750.96

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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.