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Finding the Fourth Proportional to 10,071.93, 15,123.42 and 8,205.96

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Solution

The fourth proportional to 10,071.93, 15,123.42 and 8,205.96 is: 12,321.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,071.93 : 15,123.42 = 8,205.96 : x
  2. Step 2: Convert to fraction form
    10,071.93/15,123.42 = 8,205.96/x
  3. Step 3: Cross multiply
    10,071.93x = 15,123.42 × 8,205.96
  4. Step 4: Simplify right side
    10,071.93x = 124,102,179.58
  5. Step 5: Solve for x
    x = 124,102,179.58/10,071.93
  6. Step 6: Final answer
    x = 12,321.59

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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.