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Finding the Fourth Proportional to 14,727.27, 20,323.80 and 8,013

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Solution

The fourth proportional to 14,727.27, 20,323.80 and 8,013 is: 11,058.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,727.27 : 20,323.80 = 8,013 : x
  2. Step 2: Convert to fraction form
    14,727.27/20,323.80 = 8,013/x
  3. Step 3: Cross multiply
    14,727.27x = 20,323.80 × 8,013
  4. Step 4: Simplify right side
    14,727.27x = 162,854,609.40
  5. Step 5: Solve for x
    x = 162,854,609.40/14,727.27
  6. Step 6: Final answer
    x = 11,058.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.