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Finding the Fourth Proportional to 25,779.38, 35,575.54 and 14,601.38

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Solution

The fourth proportional to 25,779.38, 35,575.54 and 14,601.38 is: 20,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,779.38 : 35,575.54 = 14,601.38 : x
  2. Step 2: Convert to fraction form
    25,779.38/35,575.54 = 14,601.38/x
  3. Step 3: Cross multiply
    25,779.38x = 35,575.54 × 14,601.38
  4. Step 4: Simplify right side
    25,779.38x = 519,451,763.86
  5. Step 5: Solve for x
    x = 519,451,763.86/25,779.38
  6. Step 6: Final answer
    x = 20,149.90

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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.