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Finding the Fourth Proportional to 19,974.78, 29,965.68 and 6,824.06

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Solution

The fourth proportional to 19,974.78, 29,965.68 and 6,824.06 is: 10,237.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,974.78 : 29,965.68 = 6,824.06 : x
  2. Step 2: Convert to fraction form
    19,974.78/29,965.68 = 6,824.06/x
  3. Step 3: Cross multiply
    19,974.78x = 29,965.68 × 6,824.06
  4. Step 4: Simplify right side
    19,974.78x = 204,487,598.26
  5. Step 5: Solve for x
    x = 204,487,598.26/19,974.78
  6. Step 6: Final answer
    x = 10,237.29

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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.