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Finding the Fourth Proportional to 12,892.92, 19,340.73 and 5,498.16

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Solution

The fourth proportional to 12,892.92, 19,340.73 and 5,498.16 is: 8,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.92 : 19,340.73 = 5,498.16 : x
  2. Step 2: Convert to fraction form
    12,892.92/19,340.73 = 5,498.16/x
  3. Step 3: Cross multiply
    12,892.92x = 19,340.73 × 5,498.16
  4. Step 4: Simplify right side
    12,892.92x = 106,338,428.06
  5. Step 5: Solve for x
    x = 106,338,428.06/12,892.92
  6. Step 6: Final answer
    x = 8,247.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.