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Finding the Fourth Proportional to 14,424.84, 19,906.28 and 8,137.22

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Solution

The fourth proportional to 14,424.84, 19,906.28 and 8,137.22 is: 11,229.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.84 : 19,906.28 = 8,137.22 : x
  2. Step 2: Convert to fraction form
    14,424.84/19,906.28 = 8,137.22/x
  3. Step 3: Cross multiply
    14,424.84x = 19,906.28 × 8,137.22
  4. Step 4: Simplify right side
    14,424.84x = 161,981,779.74
  5. Step 5: Solve for x
    x = 161,981,779.74/14,424.84
  6. Step 6: Final answer
    x = 11,229.36

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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.