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Finding the Fourth Proportional to 25,180.68, 37,758.36 and 7,648.32

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Solution

The fourth proportional to 25,180.68, 37,758.36 and 7,648.32 is: 11,468.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,180.68 : 37,758.36 = 7,648.32 : x
  2. Step 2: Convert to fraction form
    25,180.68/37,758.36 = 7,648.32/x
  3. Step 3: Cross multiply
    25,180.68x = 37,758.36 × 7,648.32
  4. Step 4: Simplify right side
    25,180.68x = 288,788,019.96
  5. Step 5: Solve for x
    x = 288,788,019.96/25,180.68
  6. Step 6: Final answer
    x = 11,468.63

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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.