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Finding the Fourth Proportional to 26,418.34, 39,631.97 and 8,884

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Solution

The fourth proportional to 26,418.34, 39,631.97 and 8,884 is: 13,327.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,418.34 : 39,631.97 = 8,884 : x
  2. Step 2: Convert to fraction form
    26,418.34/39,631.97 = 8,884/x
  3. Step 3: Cross multiply
    26,418.34x = 39,631.97 × 8,884
  4. Step 4: Simplify right side
    26,418.34x = 352,090,421.48
  5. Step 5: Solve for x
    x = 352,090,421.48/26,418.34
  6. Step 6: Final answer
    x = 13,327.50

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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.