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Finding the Fourth Proportional to 14,419.36, 19,898.71 and 8,131.74

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Solution

The fourth proportional to 14,419.36, 19,898.71 and 8,131.74 is: 11,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,419.36 : 19,898.71 = 8,131.74 : x
  2. Step 2: Convert to fraction form
    14,419.36/19,898.71 = 8,131.74/x
  3. Step 3: Cross multiply
    14,419.36x = 19,898.71 × 8,131.74
  4. Step 4: Simplify right side
    14,419.36x = 161,810,995.90
  5. Step 5: Solve for x
    x = 161,810,995.90/14,419.36
  6. Step 6: Final answer
    x = 11,221.79

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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.