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Finding the Fourth Proportional to 14,419.13, 19,898.39 and 8,131.91

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Solution

The fourth proportional to 14,419.13, 19,898.39 and 8,131.91 is: 11,222.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.13 : 19,898.39 = 8,131.91 : x
  2. Step 2: Convert to fraction form
    14,419.13/19,898.39 = 8,131.91/x
  3. Step 3: Cross multiply
    14,419.13x = 19,898.39 × 8,131.91
  4. Step 4: Simplify right side
    14,419.13x = 161,811,837.46
  5. Step 5: Solve for x
    x = 161,811,837.46/14,419.13
  6. Step 6: Final answer
    x = 11,222.03

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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.