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Finding the Fourth Proportional to 14,419.21, 19,898.51 and 8,131.59

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Solution

The fourth proportional to 14,419.21, 19,898.51 and 8,131.59 is: 11,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.21 : 19,898.51 = 8,131.59 : x
  2. Step 2: Convert to fraction form
    14,419.21/19,898.51 = 8,131.59/x
  3. Step 3: Cross multiply
    14,419.21x = 19,898.51 × 8,131.59
  4. Step 4: Simplify right side
    14,419.21x = 161,806,524.93
  5. Step 5: Solve for x
    x = 161,806,524.93/14,419.21
  6. Step 6: Final answer
    x = 11,221.59

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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.