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Finding the Fourth Proportional to 19,870.46, 29,799.10 and 8,021.17

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Solution

The fourth proportional to 19,870.46, 29,799.10 and 8,021.17 is: 12,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.46 : 29,799.10 = 8,021.17 : x
  2. Step 2: Convert to fraction form
    19,870.46/29,799.10 = 8,021.17/x
  3. Step 3: Cross multiply
    19,870.46x = 29,799.10 × 8,021.17
  4. Step 4: Simplify right side
    19,870.46x = 239,023,646.95
  5. Step 5: Solve for x
    x = 239,023,646.95/19,870.46
  6. Step 6: Final answer
    x = 12,029.09

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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.