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Finding the Fourth Proportional to 20,189.88, 30,288.78 and 7,042.68

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Solution

The fourth proportional to 20,189.88, 30,288.78 and 7,042.68 is: 10,565.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.88 : 30,288.78 = 7,042.68 : x
  2. Step 2: Convert to fraction form
    20,189.88/30,288.78 = 7,042.68/x
  3. Step 3: Cross multiply
    20,189.88x = 30,288.78 × 7,042.68
  4. Step 4: Simplify right side
    20,189.88x = 213,314,185.13
  5. Step 5: Solve for x
    x = 213,314,185.13/20,189.88
  6. Step 6: Final answer
    x = 10,565.40

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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.