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Finding the Fourth Proportional to 12,158.24, 16,780.97 and 7,679.14

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Solution

The fourth proportional to 12,158.24, 16,780.97 and 7,679.14 is: 10,598.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,158.24 : 16,780.97 = 7,679.14 : x
  2. Step 2: Convert to fraction form
    12,158.24/16,780.97 = 7,679.14/x
  3. Step 3: Cross multiply
    12,158.24x = 16,780.97 × 7,679.14
  4. Step 4: Simplify right side
    12,158.24x = 128,863,395.21
  5. Step 5: Solve for x
    x = 128,863,395.21/12,158.24
  6. Step 6: Final answer
    x = 10,598.86

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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.