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Finding the Fourth Proportional to 28,403.86, 39,197.38 and 16,474.14

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Solution

The fourth proportional to 28,403.86, 39,197.38 and 16,474.14 is: 22,734.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,403.86 : 39,197.38 = 16,474.14 : x
  2. Step 2: Convert to fraction form
    28,403.86/39,197.38 = 16,474.14/x
  3. Step 3: Cross multiply
    28,403.86x = 39,197.38 × 16,474.14
  4. Step 4: Simplify right side
    28,403.86x = 645,743,125.75
  5. Step 5: Solve for x
    x = 645,743,125.75/28,403.86
  6. Step 6: Final answer
    x = 22,734.34

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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.