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Finding the Fourth Proportional to 20,901.16, 31,352.46 and 6,861.16

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Solution

The fourth proportional to 20,901.16, 31,352.46 and 6,861.16 is: 10,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,901.16 : 31,352.46 = 6,861.16 : x
  2. Step 2: Convert to fraction form
    20,901.16/31,352.46 = 6,861.16/x
  3. Step 3: Cross multiply
    20,901.16x = 31,352.46 × 6,861.16
  4. Step 4: Simplify right side
    20,901.16x = 215,114,244.45
  5. Step 5: Solve for x
    x = 215,114,244.45/20,901.16
  6. Step 6: Final answer
    x = 10,291.98

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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.