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Finding the Fourth Proportional to 20,697.13, 31,050.27 and 7,549.46

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Solution

The fourth proportional to 20,697.13, 31,050.27 and 7,549.46 is: 11,325.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697.13 : 31,050.27 = 7,549.46 : x
  2. Step 2: Convert to fraction form
    20,697.13/31,050.27 = 7,549.46/x
  3. Step 3: Cross multiply
    20,697.13x = 31,050.27 × 7,549.46
  4. Step 4: Simplify right side
    20,697.13x = 234,412,616.10
  5. Step 5: Solve for x
    x = 234,412,616.10/20,697.13
  6. Step 6: Final answer
    x = 11,325.85

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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.