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Finding the Fourth Proportional to 19,727.40, 29,580.30 and 8,027.40

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Solution

The fourth proportional to 19,727.40, 29,580.30 and 8,027.40 is: 12,036.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,727.40 : 29,580.30 = 8,027.40 : x
  2. Step 2: Convert to fraction form
    19,727.40/29,580.30 = 8,027.40/x
  3. Step 3: Cross multiply
    19,727.40x = 29,580.30 × 8,027.40
  4. Step 4: Simplify right side
    19,727.40x = 237,452,900.22
  5. Step 5: Solve for x
    x = 237,452,900.22/19,727.40
  6. Step 6: Final answer
    x = 12,036.71

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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.