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Finding the Fourth Proportional to 20,205.02, 30,321.36 and 7,057.40

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Solution

The fourth proportional to 20,205.02, 30,321.36 and 7,057.40 is: 10,590.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,205.02 : 30,321.36 = 7,057.40 : x
  2. Step 2: Convert to fraction form
    20,205.02/30,321.36 = 7,057.40/x
  3. Step 3: Cross multiply
    20,205.02x = 30,321.36 × 7,057.40
  4. Step 4: Simplify right side
    20,205.02x = 213,989,966.06
  5. Step 5: Solve for x
    x = 213,989,966.06/20,205.02
  6. Step 6: Final answer
    x = 10,590.93

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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.