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Finding the Fourth Proportional to 19,464.71, 29,198.14 and 5,424.74

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Solution

The fourth proportional to 19,464.71, 29,198.14 and 5,424.74 is: 8,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,464.71 : 29,198.14 = 5,424.74 : x
  2. Step 2: Convert to fraction form
    19,464.71/29,198.14 = 5,424.74/x
  3. Step 3: Cross multiply
    19,464.71x = 29,198.14 × 5,424.74
  4. Step 4: Simplify right side
    19,464.71x = 158,392,267.92
  5. Step 5: Solve for x
    x = 158,392,267.92/19,464.71
  6. Step 6: Final answer
    x = 8,137.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.