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Finding the Fourth Proportional to 26,617, 36,745.86 and 16,009

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Solution

The fourth proportional to 26,617, 36,745.86 and 16,009 is: 22,101.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,617 : 36,745.86 = 16,009 : x
  2. Step 2: Convert to fraction form
    26,617/36,745.86 = 16,009/x
  3. Step 3: Cross multiply
    26,617x = 36,745.86 × 16,009
  4. Step 4: Simplify right side
    26,617x = 588,264,472.74
  5. Step 5: Solve for x
    x = 588,264,472.74/26,617
  6. Step 6: Final answer
    x = 22,101.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.