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Finding the Fourth Proportional to 19,967.70, 29,950.46 and 6,820.06

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Solution

The fourth proportional to 19,967.70, 29,950.46 and 6,820.06 is: 10,229.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,967.70 : 29,950.46 = 6,820.06 : x
  2. Step 2: Convert to fraction form
    19,967.70/29,950.46 = 6,820.06/x
  3. Step 3: Cross multiply
    19,967.70x = 29,950.46 × 6,820.06
  4. Step 4: Simplify right side
    19,967.70x = 204,263,934.23
  5. Step 5: Solve for x
    x = 204,263,934.23/19,967.70
  6. Step 6: Final answer
    x = 10,229.72

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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.