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Finding the Fourth Proportional to 25,698.24, 38,441.76 and 20,514.24

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Solution

The fourth proportional to 25,698.24, 38,441.76 and 20,514.24 is: 30,687.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,698.24 : 38,441.76 = 20,514.24 : x
  2. Step 2: Convert to fraction form
    25,698.24/38,441.76 = 20,514.24/x
  3. Step 3: Cross multiply
    25,698.24x = 38,441.76 × 20,514.24
  4. Step 4: Simplify right side
    25,698.24x = 788,603,490.66
  5. Step 5: Solve for x
    x = 788,603,490.66/25,698.24
  6. Step 6: Final answer
    x = 30,687.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.