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Finding the Fourth Proportional to 14,469.18, 19,965.33 and 8,181.42

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Solution

The fourth proportional to 14,469.18, 19,965.33 and 8,181.42 is: 11,289.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.18 : 19,965.33 = 8,181.42 : x
  2. Step 2: Convert to fraction form
    14,469.18/19,965.33 = 8,181.42/x
  3. Step 3: Cross multiply
    14,469.18x = 19,965.33 × 8,181.42
  4. Step 4: Simplify right side
    14,469.18x = 163,344,750.17
  5. Step 5: Solve for x
    x = 163,344,750.17/14,469.18
  6. Step 6: Final answer
    x = 11,289.15

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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.