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Finding the Fourth Proportional to 14,419.56, 19,898.84 and 8,131.80

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Solution

The fourth proportional to 14,419.56, 19,898.84 and 8,131.80 is: 11,221.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.56 : 19,898.84 = 8,131.80 : x
  2. Step 2: Convert to fraction form
    14,419.56/19,898.84 = 8,131.80/x
  3. Step 3: Cross multiply
    14,419.56x = 19,898.84 × 8,131.80
  4. Step 4: Simplify right side
    14,419.56x = 161,813,387.11
  5. Step 5: Solve for x
    x = 161,813,387.11/14,419.56
  6. Step 6: Final answer
    x = 11,221.80

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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.