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Finding the Fourth Proportional to 26,022, 39,034.08 and 7,554

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Solution

The fourth proportional to 26,022, 39,034.08 and 7,554 is: 11,331.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,022 : 39,034.08 = 7,554 : x
  2. Step 2: Convert to fraction form
    26,022/39,034.08 = 7,554/x
  3. Step 3: Cross multiply
    26,022x = 39,034.08 × 7,554
  4. Step 4: Simplify right side
    26,022x = 294,863,440.32
  5. Step 5: Solve for x
    x = 294,863,440.32/26,022
  6. Step 6: Final answer
    x = 11,331.31

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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.