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Finding the Fourth Proportional to 14,016.75, 19,343.12 and 8,427.75

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Solution

The fourth proportional to 14,016.75, 19,343.12 and 8,427.75 is: 11,630.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,016.75 : 19,343.12 = 8,427.75 : x
  2. Step 2: Convert to fraction form
    14,016.75/19,343.12 = 8,427.75/x
  3. Step 3: Cross multiply
    14,016.75x = 19,343.12 × 8,427.75
  4. Step 4: Simplify right side
    14,016.75x = 163,018,937.44
  5. Step 5: Solve for x
    x = 163,018,937.44/14,016.75
  6. Step 6: Final answer
    x = 11,630.30

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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.