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Finding the Fourth Proportional to 11,756.90, 17,616.15 and 10,105.70

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Solution

The fourth proportional to 11,756.90, 17,616.15 and 10,105.70 is: 15,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756.90 : 17,616.15 = 10,105.70 : x
  2. Step 2: Convert to fraction form
    11,756.90/17,616.15 = 10,105.70/x
  3. Step 3: Cross multiply
    11,756.90x = 17,616.15 × 10,105.70
  4. Step 4: Simplify right side
    11,756.90x = 178,023,527.06
  5. Step 5: Solve for x
    x = 178,023,527.06/11,756.90
  6. Step 6: Final answer
    x = 15,142.05

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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.