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Finding the Fourth Proportional to 14,419.13, 19,899 and 8,131.50

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Solution

The fourth proportional to 14,419.13, 19,899 and 8,131.50 is: 11,221.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.13 : 19,899 = 8,131.50 : x
  2. Step 2: Convert to fraction form
    14,419.13/19,899 = 8,131.50/x
  3. Step 3: Cross multiply
    14,419.13x = 19,899 × 8,131.50
  4. Step 4: Simplify right side
    14,419.13x = 161,808,718.50
  5. Step 5: Solve for x
    x = 161,808,718.50/14,419.13
  6. Step 6: Final answer
    x = 11,221.81

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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.