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Finding the Fourth Proportional to 19,882.19, 29,822.50 and 6,734.56

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Solution

The fourth proportional to 19,882.19, 29,822.50 and 6,734.56 is: 10,101.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.19 : 29,822.50 = 6,734.56 : x
  2. Step 2: Convert to fraction form
    19,882.19/29,822.50 = 6,734.56/x
  3. Step 3: Cross multiply
    19,882.19x = 29,822.50 × 6,734.56
  4. Step 4: Simplify right side
    19,882.19x = 200,841,395.16
  5. Step 5: Solve for x
    x = 200,841,395.16/19,882.19
  6. Step 6: Final answer
    x = 10,101.57

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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.