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Finding the Fourth Proportional to 14,020.20, 19,348.11 and 7,646.83

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Solution

The fourth proportional to 14,020.20, 19,348.11 and 7,646.83 is: 10,552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,020.20 : 19,348.11 = 7,646.83 : x
  2. Step 2: Convert to fraction form
    14,020.20/19,348.11 = 7,646.83/x
  3. Step 3: Cross multiply
    14,020.20x = 19,348.11 × 7,646.83
  4. Step 4: Simplify right side
    14,020.20x = 147,951,659.62
  5. Step 5: Solve for x
    x = 147,951,659.62/14,020.20
  6. Step 6: Final answer
    x = 10,552.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.