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Finding the Fourth Proportional to 12,997.92, 19,508.04 and 5,212.08

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Solution

The fourth proportional to 12,997.92, 19,508.04 and 5,212.08 is: 7,822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.92 : 19,508.04 = 5,212.08 : x
  2. Step 2: Convert to fraction form
    12,997.92/19,508.04 = 5,212.08/x
  3. Step 3: Cross multiply
    12,997.92x = 19,508.04 × 5,212.08
  4. Step 4: Simplify right side
    12,997.92x = 101,677,465.12
  5. Step 5: Solve for x
    x = 101,677,465.12/12,997.92
  6. Step 6: Final answer
    x = 7,822.60

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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.