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Finding the Fourth Proportional to 17,787.92, 24,544.69 and 9,830.48

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Solution

The fourth proportional to 17,787.92, 24,544.69 and 9,830.48 is: 13,564.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,787.92 : 24,544.69 = 9,830.48 : x
  2. Step 2: Convert to fraction form
    17,787.92/24,544.69 = 9,830.48/x
  3. Step 3: Cross multiply
    17,787.92x = 24,544.69 × 9,830.48
  4. Step 4: Simplify right side
    17,787.92x = 241,285,936.85
  5. Step 5: Solve for x
    x = 241,285,936.85/17,787.92
  6. Step 6: Final answer
    x = 13,564.60

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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.