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Finding the Fourth Proportional to 17,851.16, 26,776.74 and 5,371.22

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Solution

The fourth proportional to 17,851.16, 26,776.74 and 5,371.22 is: 8,056.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,851.16 : 26,776.74 = 5,371.22 : x
  2. Step 2: Convert to fraction form
    17,851.16/26,776.74 = 5,371.22/x
  3. Step 3: Cross multiply
    17,851.16x = 26,776.74 × 5,371.22
  4. Step 4: Simplify right side
    17,851.16x = 143,823,761.42
  5. Step 5: Solve for x
    x = 143,823,761.42/17,851.16
  6. Step 6: Final answer
    x = 8,056.83

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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.