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Finding the Fourth Proportional to 20,997.66, 31,496.46 and 7,146.66

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Solution

The fourth proportional to 20,997.66, 31,496.46 and 7,146.66 is: 10,719.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,997.66 : 31,496.46 = 7,146.66 : x
  2. Step 2: Convert to fraction form
    20,997.66/31,496.46 = 7,146.66/x
  3. Step 3: Cross multiply
    20,997.66x = 31,496.46 × 7,146.66
  4. Step 4: Simplify right side
    20,997.66x = 225,094,490.82
  5. Step 5: Solve for x
    x = 225,094,490.82/20,997.66
  6. Step 6: Final answer
    x = 10,719.98

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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.