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Finding the Fourth Proportional to 16,513.17, 24,778.31 and 8,193.02

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Solution

The fourth proportional to 16,513.17, 24,778.31 and 8,193.02 is: 12,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,513.17 : 24,778.31 = 8,193.02 : x
  2. Step 2: Convert to fraction form
    16,513.17/24,778.31 = 8,193.02/x
  3. Step 3: Cross multiply
    16,513.17x = 24,778.31 × 8,193.02
  4. Step 4: Simplify right side
    16,513.17x = 203,009,024.54
  5. Step 5: Solve for x
    x = 203,009,024.54/16,513.17
  6. Step 6: Final answer
    x = 12,293.77

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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.