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Finding the Fourth Proportional to 20,813.56, 31,215.74 and 6,019.24

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Solution

The fourth proportional to 20,813.56, 31,215.74 and 6,019.24 is: 9,027.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,813.56 : 31,215.74 = 6,019.24 : x
  2. Step 2: Convert to fraction form
    20,813.56/31,215.74 = 6,019.24/x
  3. Step 3: Cross multiply
    20,813.56x = 31,215.74 × 6,019.24
  4. Step 4: Simplify right side
    20,813.56x = 187,895,030.84
  5. Step 5: Solve for x
    x = 187,895,030.84/20,813.56
  6. Step 6: Final answer
    x = 9,027.53

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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.