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Finding the Fourth Proportional to 18,477.41, 27,698.84 and 6,787.49

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Solution

The fourth proportional to 18,477.41, 27,698.84 and 6,787.49 is: 10,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,477.41 : 27,698.84 = 6,787.49 : x
  2. Step 2: Convert to fraction form
    18,477.41/27,698.84 = 6,787.49/x
  3. Step 3: Cross multiply
    18,477.41x = 27,698.84 × 6,787.49
  4. Step 4: Simplify right side
    18,477.41x = 188,005,565.57
  5. Step 5: Solve for x
    x = 188,005,565.57/18,477.41
  6. Step 6: Final answer
    x = 10,174.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.