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Finding the Fourth Proportional to 11,414.67, 15,756.64 and 10,217.55

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Solution

The fourth proportional to 11,414.67, 15,756.64 and 10,217.55 is: 14,104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.67 : 15,756.64 = 10,217.55 : x
  2. Step 2: Convert to fraction form
    11,414.67/15,756.64 = 10,217.55/x
  3. Step 3: Cross multiply
    11,414.67x = 15,756.64 × 10,217.55
  4. Step 4: Simplify right side
    11,414.67x = 160,994,172.40
  5. Step 5: Solve for x
    x = 160,994,172.40/11,414.67
  6. Step 6: Final answer
    x = 14,104.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.