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Finding the Fourth Proportional to 25,193.68, 37,780.96 and 7,419.44

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Solution

The fourth proportional to 25,193.68, 37,780.96 and 7,419.44 is: 11,126.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,193.68 : 37,780.96 = 7,419.44 : x
  2. Step 2: Convert to fraction form
    25,193.68/37,780.96 = 7,419.44/x
  3. Step 3: Cross multiply
    25,193.68x = 37,780.96 × 7,419.44
  4. Step 4: Simplify right side
    25,193.68x = 280,313,565.86
  5. Step 5: Solve for x
    x = 280,313,565.86/25,193.68
  6. Step 6: Final answer
    x = 11,126.34

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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.