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Finding the Fourth Proportional to 12,892.98, 19,340.82 and 5,498.22

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Solution

The fourth proportional to 12,892.98, 19,340.82 and 5,498.22 is: 8,247.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,892.98 : 19,340.82 = 5,498.22 : x
  2. Step 2: Convert to fraction form
    12,892.98/19,340.82 = 5,498.22/x
  3. Step 3: Cross multiply
    12,892.98x = 19,340.82 × 5,498.22
  4. Step 4: Simplify right side
    12,892.98x = 106,340,083.34
  5. Step 5: Solve for x
    x = 106,340,083.34/12,892.98
  6. Step 6: Final answer
    x = 8,247.91

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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.