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Finding the Fourth Proportional to 16,577.76, 22,876.32 and 9,408

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Solution

The fourth proportional to 16,577.76, 22,876.32 and 9,408 is: 12,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.76 : 22,876.32 = 9,408 : x
  2. Step 2: Convert to fraction form
    16,577.76/22,876.32 = 9,408/x
  3. Step 3: Cross multiply
    16,577.76x = 22,876.32 × 9,408
  4. Step 4: Simplify right side
    16,577.76x = 215,220,418.56
  5. Step 5: Solve for x
    x = 215,220,418.56/16,577.76
  6. Step 6: Final answer
    x = 12,982.48

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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.