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Finding the Fourth Proportional to 14,424.76, 19,902.72 and 8,137.14

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Solution

The fourth proportional to 14,424.76, 19,902.72 and 8,137.14 is: 11,227.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,424.76 : 19,902.72 = 8,137.14 : x
  2. Step 2: Convert to fraction form
    14,424.76/19,902.72 = 8,137.14/x
  3. Step 3: Cross multiply
    14,424.76x = 19,902.72 × 8,137.14
  4. Step 4: Simplify right side
    14,424.76x = 161,951,219.02
  5. Step 5: Solve for x
    x = 161,951,219.02/14,424.76
  6. Step 6: Final answer
    x = 11,227.31

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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.