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Finding the Fourth Proportional to 20,000.40, 29,991.96 and 6,146.16

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Solution

The fourth proportional to 20,000.40, 29,991.96 and 6,146.16 is: 9,216.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,000.40 : 29,991.96 = 6,146.16 : x
  2. Step 2: Convert to fraction form
    20,000.40/29,991.96 = 6,146.16/x
  3. Step 3: Cross multiply
    20,000.40x = 29,991.96 × 6,146.16
  4. Step 4: Simplify right side
    20,000.40x = 184,335,384.87
  5. Step 5: Solve for x
    x = 184,335,384.87/20,000.40
  6. Step 6: Final answer
    x = 9,216.58

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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.