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Finding the Fourth Proportional to 19,352.71, 29,033.17 and 6,214.31

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Solution

The fourth proportional to 19,352.71, 29,033.17 and 6,214.31 is: 9,322.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,352.71 : 29,033.17 = 6,214.31 : x
  2. Step 2: Convert to fraction form
    19,352.71/29,033.17 = 6,214.31/x
  3. Step 3: Cross multiply
    19,352.71x = 29,033.17 × 6,214.31
  4. Step 4: Simplify right side
    19,352.71x = 180,421,118.66
  5. Step 5: Solve for x
    x = 180,421,118.66/19,352.71
  6. Step 6: Final answer
    x = 9,322.78

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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.