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Finding the Fourth Proportional to 12,135.14, 16,751.66 and 8,158.56

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Solution

The fourth proportional to 12,135.14, 16,751.66 and 8,158.56 is: 11,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.14 : 16,751.66 = 8,158.56 : x
  2. Step 2: Convert to fraction form
    12,135.14/16,751.66 = 8,158.56/x
  3. Step 3: Cross multiply
    12,135.14x = 16,751.66 × 8,158.56
  4. Step 4: Simplify right side
    12,135.14x = 136,669,423.21
  5. Step 5: Solve for x
    x = 136,669,423.21/12,135.14
  6. Step 6: Final answer
    x = 11,262.29

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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.