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Finding the Fourth Proportional to 20,201.54, 30,316.13 and 7,053.90

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Solution

The fourth proportional to 20,201.54, 30,316.13 and 7,053.90 is: 10,585.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.54 : 30,316.13 = 7,053.90 : x
  2. Step 2: Convert to fraction form
    20,201.54/30,316.13 = 7,053.90/x
  3. Step 3: Cross multiply
    20,201.54x = 30,316.13 × 7,053.90
  4. Step 4: Simplify right side
    20,201.54x = 213,846,914.14
  5. Step 5: Solve for x
    x = 213,846,914.14/20,201.54
  6. Step 6: Final answer
    x = 10,585.68

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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.