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Finding the Fourth Proportional to 26,224.38, 39,328.06 and 8,689.50

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Solution

The fourth proportional to 26,224.38, 39,328.06 and 8,689.50 is: 13,031.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,224.38 : 39,328.06 = 8,689.50 : x
  2. Step 2: Convert to fraction form
    26,224.38/39,328.06 = 8,689.50/x
  3. Step 3: Cross multiply
    26,224.38x = 39,328.06 × 8,689.50
  4. Step 4: Simplify right side
    26,224.38x = 341,741,177.37
  5. Step 5: Solve for x
    x = 341,741,177.37/26,224.38
  6. Step 6: Final answer
    x = 13,031.43

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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.