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Finding the Fourth Proportional to 19,772.08, 29,662.44 and 5,920

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Solution

The fourth proportional to 19,772.08, 29,662.44 and 5,920 is: 8,881.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,772.08 : 29,662.44 = 5,920 : x
  2. Step 2: Convert to fraction form
    19,772.08/29,662.44 = 5,920/x
  3. Step 3: Cross multiply
    19,772.08x = 29,662.44 × 5,920
  4. Step 4: Simplify right side
    19,772.08x = 175,601,644.80
  5. Step 5: Solve for x
    x = 175,601,644.80/19,772.08
  6. Step 6: Final answer
    x = 8,881.29

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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.