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Finding the Fourth Proportional to 14,571.41, 21,854.79 and 5,209.68

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Solution

The fourth proportional to 14,571.41, 21,854.79 and 5,209.68 is: 7,813.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.41 : 21,854.79 = 5,209.68 : x
  2. Step 2: Convert to fraction form
    14,571.41/21,854.79 = 5,209.68/x
  3. Step 3: Cross multiply
    14,571.41x = 21,854.79 × 5,209.68
  4. Step 4: Simplify right side
    14,571.41x = 113,856,462.37
  5. Step 5: Solve for x
    x = 113,856,462.37/14,571.41
  6. Step 6: Final answer
    x = 7,813.69

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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.