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Finding the Fourth Proportional to 19,922.62, 29,877.99 and 6,772

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Solution

The fourth proportional to 19,922.62, 29,877.99 and 6,772 is: 10,155.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,922.62 : 29,877.99 = 6,772 : x
  2. Step 2: Convert to fraction form
    19,922.62/29,877.99 = 6,772/x
  3. Step 3: Cross multiply
    19,922.62x = 29,877.99 × 6,772
  4. Step 4: Simplify right side
    19,922.62x = 202,333,748.28
  5. Step 5: Solve for x
    x = 202,333,748.28/19,922.62
  6. Step 6: Final answer
    x = 10,155.98

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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.