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Finding the Fourth Proportional to 12,122.72, 16,719.87 and 8,296.63

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Solution

The fourth proportional to 12,122.72, 16,719.87 and 8,296.63 is: 11,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,122.72 : 16,719.87 = 8,296.63 : x
  2. Step 2: Convert to fraction form
    12,122.72/16,719.87 = 8,296.63/x
  3. Step 3: Cross multiply
    12,122.72x = 16,719.87 × 8,296.63
  4. Step 4: Simplify right side
    12,122.72x = 138,718,533.24
  5. Step 5: Solve for x
    x = 138,718,533.24/12,122.72
  6. Step 6: Final answer
    x = 11,442.85

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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.