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Finding the Fourth Proportional to 12,223.92, 18,342.48 and 5,298.96

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Solution

The fourth proportional to 12,223.92, 18,342.48 and 5,298.96 is: 7,951.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,223.92 : 18,342.48 = 5,298.96 : x
  2. Step 2: Convert to fraction form
    12,223.92/18,342.48 = 5,298.96/x
  3. Step 3: Cross multiply
    12,223.92x = 18,342.48 × 5,298.96
  4. Step 4: Simplify right side
    12,223.92x = 97,196,067.82
  5. Step 5: Solve for x
    x = 97,196,067.82/12,223.92
  6. Step 6: Final answer
    x = 7,951.30

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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.