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Finding the Fourth Proportional to 26,295.24, 39,443.10 and 8,765

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Solution

The fourth proportional to 26,295.24, 39,443.10 and 8,765 is: 13,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,295.24 : 39,443.10 = 8,765 : x
  2. Step 2: Convert to fraction form
    26,295.24/39,443.10 = 8,765/x
  3. Step 3: Cross multiply
    26,295.24x = 39,443.10 × 8,765
  4. Step 4: Simplify right side
    26,295.24x = 345,718,771.50
  5. Step 5: Solve for x
    x = 345,718,771.50/26,295.24
  6. Step 6: Final answer
    x = 13,147.58

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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.