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Finding the Fourth Proportional to 13,022.58, 19,542.03 and 8,101.83

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Solution

The fourth proportional to 13,022.58, 19,542.03 and 8,101.83 is: 12,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,022.58 : 19,542.03 = 8,101.83 : x
  2. Step 2: Convert to fraction form
    13,022.58/19,542.03 = 8,101.83/x
  3. Step 3: Cross multiply
    13,022.58x = 19,542.03 × 8,101.83
  4. Step 4: Simplify right side
    13,022.58x = 158,326,204.91
  5. Step 5: Solve for x
    x = 158,326,204.91/13,022.58
  6. Step 6: Final answer
    x = 12,157.82

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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.