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Finding the Fourth Proportional to 25,819.67, 38,729.49 and 7,099.95

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Solution

The fourth proportional to 25,819.67, 38,729.49 and 7,099.95 is: 10,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,819.67 : 38,729.49 = 7,099.95 : x
  2. Step 2: Convert to fraction form
    25,819.67/38,729.49 = 7,099.95/x
  3. Step 3: Cross multiply
    25,819.67x = 38,729.49 × 7,099.95
  4. Step 4: Simplify right side
    25,819.67x = 274,977,442.53
  5. Step 5: Solve for x
    x = 274,977,442.53/25,819.67
  6. Step 6: Final answer
    x = 10,649.92

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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.