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Finding the Fourth Proportional to 12,986.58, 17,922.58 and 7,322.42

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Solution

The fourth proportional to 12,986.58, 17,922.58 and 7,322.42 is: 10,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,986.58 : 17,922.58 = 7,322.42 : x
  2. Step 2: Convert to fraction form
    12,986.58/17,922.58 = 7,322.42/x
  3. Step 3: Cross multiply
    12,986.58x = 17,922.58 × 7,322.42
  4. Step 4: Simplify right side
    12,986.58x = 131,236,658.24
  5. Step 5: Solve for x
    x = 131,236,658.24/12,986.58
  6. Step 6: Final answer
    x = 10,105.56

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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.