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Finding the Fourth Proportional to 26,232.16, 39,352.20 and 8,698

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Solution

The fourth proportional to 26,232.16, 39,352.20 and 8,698 is: 13,048.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,232.16 : 39,352.20 = 8,698 : x
  2. Step 2: Convert to fraction form
    26,232.16/39,352.20 = 8,698/x
  3. Step 3: Cross multiply
    26,232.16x = 39,352.20 × 8,698
  4. Step 4: Simplify right side
    26,232.16x = 342,285,435.60
  5. Step 5: Solve for x
    x = 342,285,435.60/26,232.16
  6. Step 6: Final answer
    x = 13,048.31

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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.