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Finding the Fourth Proportional to 25,085.76, 37,651.20 and 13,408.96

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Solution

The fourth proportional to 25,085.76, 37,651.20 and 13,408.96 is: 20,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,085.76 : 37,651.20 = 13,408.96 : x
  2. Step 2: Convert to fraction form
    25,085.76/37,651.20 = 13,408.96/x
  3. Step 3: Cross multiply
    25,085.76x = 37,651.20 × 13,408.96
  4. Step 4: Simplify right side
    25,085.76x = 504,863,434.75
  5. Step 5: Solve for x
    x = 504,863,434.75/25,085.76
  6. Step 6: Final answer
    x = 20,125.50

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Why These Related Problems?

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