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Finding the Fourth Proportional to 13,192.97, 19,789.25 and 5,297.50

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Solution

The fourth proportional to 13,192.97, 19,789.25 and 5,297.50 is: 7,946.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,192.97 : 19,789.25 = 5,297.50 : x
  2. Step 2: Convert to fraction form
    13,192.97/19,789.25 = 5,297.50/x
  3. Step 3: Cross multiply
    13,192.97x = 19,789.25 × 5,297.50
  4. Step 4: Simplify right side
    13,192.97x = 104,833,452.93
  5. Step 5: Solve for x
    x = 104,833,452.93/13,192.97
  6. Step 6: Final answer
    x = 7,946.16

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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.