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Finding the Fourth Proportional to 20,854.99, 31,282.23 and 8,374.79

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Solution

The fourth proportional to 20,854.99, 31,282.23 and 8,374.79 is: 12,562.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,854.99 : 31,282.23 = 8,374.79 : x
  2. Step 2: Convert to fraction form
    20,854.99/31,282.23 = 8,374.79/x
  3. Step 3: Cross multiply
    20,854.99x = 31,282.23 × 8,374.79
  4. Step 4: Simplify right side
    20,854.99x = 261,982,216.59
  5. Step 5: Solve for x
    x = 261,982,216.59/20,854.99
  6. Step 6: Final answer
    x = 12,562.09

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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.