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Finding the Fourth Proportional to 19,870.22, 29,798.73 and 8,020.92

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Solution

The fourth proportional to 19,870.22, 29,798.73 and 8,020.92 is: 12,028.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.22 : 29,798.73 = 8,020.92 : x
  2. Step 2: Convert to fraction form
    19,870.22/29,798.73 = 8,020.92/x
  3. Step 3: Cross multiply
    19,870.22x = 29,798.73 × 8,020.92
  4. Step 4: Simplify right side
    19,870.22x = 239,013,229.43
  5. Step 5: Solve for x
    x = 239,013,229.43/19,870.22
  6. Step 6: Final answer
    x = 12,028.72

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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.