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Finding the Fourth Proportional to 26,291.66, 39,456.93 and 9,662

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Solution

The fourth proportional to 26,291.66, 39,456.93 and 9,662 is: 14,500.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,291.66 : 39,456.93 = 9,662 : x
  2. Step 2: Convert to fraction form
    26,291.66/39,456.93 = 9,662/x
  3. Step 3: Cross multiply
    26,291.66x = 39,456.93 × 9,662
  4. Step 4: Simplify right side
    26,291.66x = 381,232,857.66
  5. Step 5: Solve for x
    x = 381,232,857.66/26,291.66
  6. Step 6: Final answer
    x = 14,500.14

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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.