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Finding the Fourth Proportional to 20,493.30, 30,740.01 and 5,702.25

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Solution

The fourth proportional to 20,493.30, 30,740.01 and 5,702.25 is: 8,553.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,493.30 : 30,740.01 = 5,702.25 : x
  2. Step 2: Convert to fraction form
    20,493.30/30,740.01 = 5,702.25/x
  3. Step 3: Cross multiply
    20,493.30x = 30,740.01 × 5,702.25
  4. Step 4: Simplify right side
    20,493.30x = 175,287,143.00
  5. Step 5: Solve for x
    x = 175,287,143.00/20,493.30
  6. Step 6: Final answer
    x = 8,553.39

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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.