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Finding the Fourth Proportional to 19,662.87, 29,494.35 and 6,511.71

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Solution

The fourth proportional to 19,662.87, 29,494.35 and 6,511.71 is: 9,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,662.87 : 29,494.35 = 6,511.71 : x
  2. Step 2: Convert to fraction form
    19,662.87/29,494.35 = 6,511.71/x
  3. Step 3: Cross multiply
    19,662.87x = 29,494.35 × 6,511.71
  4. Step 4: Simplify right side
    19,662.87x = 192,058,653.84
  5. Step 5: Solve for x
    x = 192,058,653.84/19,662.87
  6. Step 6: Final answer
    x = 9,767.58

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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.