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Finding the Fourth Proportional to 15,745.75, 23,594.82 and 9,498.82

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Solution

The fourth proportional to 15,745.75, 23,594.82 and 9,498.82 is: 14,233.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,745.75 : 23,594.82 = 9,498.82 : x
  2. Step 2: Convert to fraction form
    15,745.75/23,594.82 = 9,498.82/x
  3. Step 3: Cross multiply
    15,745.75x = 23,594.82 × 9,498.82
  4. Step 4: Simplify right side
    15,745.75x = 224,122,948.11
  5. Step 5: Solve for x
    x = 224,122,948.11/15,745.75
  6. Step 6: Final answer
    x = 14,233.87

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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.