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Finding the Fourth Proportional to 16,577.66, 22,876.44 and 9,024

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Solution

The fourth proportional to 16,577.66, 22,876.44 and 9,024 is: 12,452.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.66 : 22,876.44 = 9,024 : x
  2. Step 2: Convert to fraction form
    16,577.66/22,876.44 = 9,024/x
  3. Step 3: Cross multiply
    16,577.66x = 22,876.44 × 9,024
  4. Step 4: Simplify right side
    16,577.66x = 206,436,994.56
  5. Step 5: Solve for x
    x = 206,436,994.56/16,577.66
  6. Step 6: Final answer
    x = 12,452.72

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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.