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Finding the Fourth Proportional to 20,083.26, 30,086.01 and 9,702.30

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Solution

The fourth proportional to 20,083.26, 30,086.01 and 9,702.30 is: 14,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.26 : 30,086.01 = 9,702.30 : x
  2. Step 2: Convert to fraction form
    20,083.26/30,086.01 = 9,702.30/x
  3. Step 3: Cross multiply
    20,083.26x = 30,086.01 × 9,702.30
  4. Step 4: Simplify right side
    20,083.26x = 291,903,494.82
  5. Step 5: Solve for x
    x = 291,903,494.82/20,083.26
  6. Step 6: Final answer
    x = 14,534.67

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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.