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Finding the Fourth Proportional to 17,961.65, 24,787.11 and 10,409.44

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Solution

The fourth proportional to 17,961.65, 24,787.11 and 10,409.44 is: 14,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,961.65 : 24,787.11 = 10,409.44 : x
  2. Step 2: Convert to fraction form
    17,961.65/24,787.11 = 10,409.44/x
  3. Step 3: Cross multiply
    17,961.65x = 24,787.11 × 10,409.44
  4. Step 4: Simplify right side
    17,961.65x = 258,019,934.32
  5. Step 5: Solve for x
    x = 258,019,934.32/17,961.65
  6. Step 6: Final answer
    x = 14,365.05

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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.