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Finding the Fourth Proportional to 14,231.94, 21,358.41 and 6,840.66

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Solution

The fourth proportional to 14,231.94, 21,358.41 and 6,840.66 is: 10,266.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,231.94 : 21,358.41 = 6,840.66 : x
  2. Step 2: Convert to fraction form
    14,231.94/21,358.41 = 6,840.66/x
  3. Step 3: Cross multiply
    14,231.94x = 21,358.41 × 6,840.66
  4. Step 4: Simplify right side
    14,231.94x = 146,105,620.95
  5. Step 5: Solve for x
    x = 146,105,620.95/14,231.94
  6. Step 6: Final answer
    x = 10,266.04

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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.