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Finding the Fourth Proportional to 17,787.93, 24,546.09 and 9,830.44

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Solution

The fourth proportional to 17,787.93, 24,546.09 and 9,830.44 is: 13,565.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.93 : 24,546.09 = 9,830.44 : x
  2. Step 2: Convert to fraction form
    17,787.93/24,546.09 = 9,830.44/x
  3. Step 3: Cross multiply
    17,787.93x = 24,546.09 × 9,830.44
  4. Step 4: Simplify right side
    17,787.93x = 241,298,864.98
  5. Step 5: Solve for x
    x = 241,298,864.98/17,787.93
  6. Step 6: Final answer
    x = 13,565.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.