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Finding the Fourth Proportional to 12,372.14, 17,065.80 and 8,123.42

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Solution

The fourth proportional to 12,372.14, 17,065.80 and 8,123.42 is: 11,205.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,372.14 : 17,065.80 = 8,123.42 : x
  2. Step 2: Convert to fraction form
    12,372.14/17,065.80 = 8,123.42/x
  3. Step 3: Cross multiply
    12,372.14x = 17,065.80 × 8,123.42
  4. Step 4: Simplify right side
    12,372.14x = 138,632,575.71
  5. Step 5: Solve for x
    x = 138,632,575.71/12,372.14
  6. Step 6: Final answer
    x = 11,205.23

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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.