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Finding the Fourth Proportional to 28,779, 39,716.64 and 16,204.56

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Solution

The fourth proportional to 28,779, 39,716.64 and 16,204.56 is: 22,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,779 : 39,716.64 = 16,204.56 : x
  2. Step 2: Convert to fraction form
    28,779/39,716.64 = 16,204.56/x
  3. Step 3: Cross multiply
    28,779x = 39,716.64 × 16,204.56
  4. Step 4: Simplify right side
    28,779x = 643,590,675.88
  5. Step 5: Solve for x
    x = 643,590,675.88/28,779
  6. Step 6: Final answer
    x = 22,363.20

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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.