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Finding the Fourth Proportional to 26,486.34, 36,553.11 and 16,416.76

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Solution

The fourth proportional to 26,486.34, 36,553.11 and 16,416.76 is: 22,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,486.34 : 36,553.11 = 16,416.76 : x
  2. Step 2: Convert to fraction form
    26,486.34/36,553.11 = 16,416.76/x
  3. Step 3: Cross multiply
    26,486.34x = 36,553.11 × 16,416.76
  4. Step 4: Simplify right side
    26,486.34x = 600,083,634.12
  5. Step 5: Solve for x
    x = 600,083,634.12/26,486.34
  6. Step 6: Final answer
    x = 22,656.34

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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.