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Finding the Fourth Proportional to 20,697.13, 31,054.80 and 6,846.13

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Solution

The fourth proportional to 20,697.13, 31,054.80 and 6,846.13 is: 10,272.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.13 : 31,054.80 = 6,846.13 : x
  2. Step 2: Convert to fraction form
    20,697.13/31,054.80 = 6,846.13/x
  3. Step 3: Cross multiply
    20,697.13x = 31,054.80 × 6,846.13
  4. Step 4: Simplify right side
    20,697.13x = 212,605,197.92
  5. Step 5: Solve for x
    x = 212,605,197.92/20,697.13
  6. Step 6: Final answer
    x = 10,272.21

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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.