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Finding the Fourth Proportional to 15,930.27, 23,877.38 and 8,020.22

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Solution

The fourth proportional to 15,930.27, 23,877.38 and 8,020.22 is: 12,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,930.27 : 23,877.38 = 8,020.22 : x
  2. Step 2: Convert to fraction form
    15,930.27/23,877.38 = 8,020.22/x
  3. Step 3: Cross multiply
    15,930.27x = 23,877.38 × 8,020.22
  4. Step 4: Simplify right side
    15,930.27x = 191,501,741.29
  5. Step 5: Solve for x
    x = 191,501,741.29/15,930.27
  6. Step 6: Final answer
    x = 12,021.25

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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.