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Finding the Fourth Proportional to 19,811.10, 29,717.58 and 8,116.14

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Solution

The fourth proportional to 19,811.10, 29,717.58 and 8,116.14 is: 12,174.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,811.10 : 29,717.58 = 8,116.14 : x
  2. Step 2: Convert to fraction form
    19,811.10/29,717.58 = 8,116.14/x
  3. Step 3: Cross multiply
    19,811.10x = 29,717.58 × 8,116.14
  4. Step 4: Simplify right side
    19,811.10x = 241,192,039.74
  5. Step 5: Solve for x
    x = 241,192,039.74/19,811.10
  6. Step 6: Final answer
    x = 12,174.59

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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.