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Finding the Fourth Proportional to 19,614.78, 29,424.24 and 6,467.22

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Solution

The fourth proportional to 19,614.78, 29,424.24 and 6,467.22 is: 9,701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,614.78 : 29,424.24 = 6,467.22 : x
  2. Step 2: Convert to fraction form
    19,614.78/29,424.24 = 6,467.22/x
  3. Step 3: Cross multiply
    19,614.78x = 29,424.24 × 6,467.22
  4. Step 4: Simplify right side
    19,614.78x = 190,293,033.41
  5. Step 5: Solve for x
    x = 190,293,033.41/19,614.78
  6. Step 6: Final answer
    x = 9,701.51

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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.