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Finding the Fourth Proportional to 26,486.52, 39,715.96 and 8,950

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Solution

The fourth proportional to 26,486.52, 39,715.96 and 8,950 is: 13,420.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.52 : 39,715.96 = 8,950 : x
  2. Step 2: Convert to fraction form
    26,486.52/39,715.96 = 8,950/x
  3. Step 3: Cross multiply
    26,486.52x = 39,715.96 × 8,950
  4. Step 4: Simplify right side
    26,486.52x = 355,457,842
  5. Step 5: Solve for x
    x = 355,457,842/26,486.52
  6. Step 6: Final answer
    x = 13,420.33

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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.