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Finding the Fourth Proportional to 15,494.47, 23,241.96 and 8,113.34

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Solution

The fourth proportional to 15,494.47, 23,241.96 and 8,113.34 is: 12,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.47 : 23,241.96 = 8,113.34 : x
  2. Step 2: Convert to fraction form
    15,494.47/23,241.96 = 8,113.34/x
  3. Step 3: Cross multiply
    15,494.47x = 23,241.96 × 8,113.34
  4. Step 4: Simplify right side
    15,494.47x = 188,569,981.85
  5. Step 5: Solve for x
    x = 188,569,981.85/15,494.47
  6. Step 6: Final answer
    x = 12,170.15

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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.