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Finding the Fourth Proportional to 28,241.38, 38,961.43 and 16,296.24

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Solution

The fourth proportional to 28,241.38, 38,961.43 and 16,296.24 is: 22,482.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,241.38 : 38,961.43 = 16,296.24 : x
  2. Step 2: Convert to fraction form
    28,241.38/38,961.43 = 16,296.24/x
  3. Step 3: Cross multiply
    28,241.38x = 38,961.43 × 16,296.24
  4. Step 4: Simplify right side
    28,241.38x = 634,924,814.02
  5. Step 5: Solve for x
    x = 634,924,814.02/28,241.38
  6. Step 6: Final answer
    x = 22,482.07

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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.