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Finding the Fourth Proportional to 20,201.93, 30,289.23 and 7,047.13

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Solution

The fourth proportional to 20,201.93, 30,289.23 and 7,047.13 is: 10,565.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.93 : 30,289.23 = 7,047.13 : x
  2. Step 2: Convert to fraction form
    20,201.93/30,289.23 = 7,047.13/x
  3. Step 3: Cross multiply
    20,201.93x = 30,289.23 × 7,047.13
  4. Step 4: Simplify right side
    20,201.93x = 213,452,141.41
  5. Step 5: Solve for x
    x = 213,452,141.41/20,201.93
  6. Step 6: Final answer
    x = 10,565.93

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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.