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Finding the Fourth Proportional to 20,047.38, 30,051.23 and 9,498.75

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Solution

The fourth proportional to 20,047.38, 30,051.23 and 9,498.75 is: 14,238.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,047.38 : 30,051.23 = 9,498.75 : x
  2. Step 2: Convert to fraction form
    20,047.38/30,051.23 = 9,498.75/x
  3. Step 3: Cross multiply
    20,047.38x = 30,051.23 × 9,498.75
  4. Step 4: Simplify right side
    20,047.38x = 285,449,073.47
  5. Step 5: Solve for x
    x = 285,449,073.47/20,047.38
  6. Step 6: Final answer
    x = 14,238.72

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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.