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Finding the Fourth Proportional to 16,577.79, 22,876.74 and 9,023.82

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Solution

The fourth proportional to 16,577.79, 22,876.74 and 9,023.82 is: 12,452.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,577.79 : 22,876.74 = 9,023.82 : x
  2. Step 2: Convert to fraction form
    16,577.79/22,876.74 = 9,023.82/x
  3. Step 3: Cross multiply
    16,577.79x = 22,876.74 × 9,023.82
  4. Step 4: Simplify right side
    16,577.79x = 206,435,583.95
  5. Step 5: Solve for x
    x = 206,435,583.95/16,577.79
  6. Step 6: Final answer
    x = 12,452.54

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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.