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Finding the Fourth Proportional to 17,787.72, 24,546.82 and 9,830.08

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Solution

The fourth proportional to 17,787.72, 24,546.82 and 9,830.08 is: 13,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.72 : 24,546.82 = 9,830.08 : x
  2. Step 2: Convert to fraction form
    17,787.72/24,546.82 = 9,830.08/x
  3. Step 3: Cross multiply
    17,787.72x = 24,546.82 × 9,830.08
  4. Step 4: Simplify right side
    17,787.72x = 241,297,204.35
  5. Step 5: Solve for x
    x = 241,297,204.35/17,787.72
  6. Step 6: Final answer
    x = 13,565.38

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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.