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Finding the Fourth Proportional to 25,097.65, 37,649.95 and 8,462.44

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Solution

The fourth proportional to 25,097.65, 37,649.95 and 8,462.44 is: 12,694.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,097.65 : 37,649.95 = 8,462.44 : x
  2. Step 2: Convert to fraction form
    25,097.65/37,649.95 = 8,462.44/x
  3. Step 3: Cross multiply
    25,097.65x = 37,649.95 × 8,462.44
  4. Step 4: Simplify right side
    25,097.65x = 318,610,442.88
  5. Step 5: Solve for x
    x = 318,610,442.88/25,097.65
  6. Step 6: Final answer
    x = 12,694.83

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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.