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Finding the Fourth Proportional to 14,747.93, 20,351.99 and 8,461.29

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Solution

The fourth proportional to 14,747.93, 20,351.99 and 8,461.29 is: 11,676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,747.93 : 20,351.99 = 8,461.29 : x
  2. Step 2: Convert to fraction form
    14,747.93/20,351.99 = 8,461.29/x
  3. Step 3: Cross multiply
    14,747.93x = 20,351.99 × 8,461.29
  4. Step 4: Simplify right side
    14,747.93x = 172,204,047.16
  5. Step 5: Solve for x
    x = 172,204,047.16/14,747.93
  6. Step 6: Final answer
    x = 11,676.49

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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.