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Finding the Fourth Proportional to 26,711.27, 40,076.12 and 10,076.06

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Solution

The fourth proportional to 26,711.27, 40,076.12 and 10,076.06 is: 15,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,711.27 : 40,076.12 = 10,076.06 : x
  2. Step 2: Convert to fraction form
    26,711.27/40,076.12 = 10,076.06/x
  3. Step 3: Cross multiply
    26,711.27x = 40,076.12 × 10,076.06
  4. Step 4: Simplify right side
    26,711.27x = 403,809,439.50
  5. Step 5: Solve for x
    x = 403,809,439.50/26,711.27
  6. Step 6: Final answer
    x = 15,117.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.