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Finding the Fourth Proportional to 12,963.48, 19,444.26 and 5,174.04

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Solution

The fourth proportional to 12,963.48, 19,444.26 and 5,174.04 is: 7,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.48 : 19,444.26 = 5,174.04 : x
  2. Step 2: Convert to fraction form
    12,963.48/19,444.26 = 5,174.04/x
  3. Step 3: Cross multiply
    12,963.48x = 19,444.26 × 5,174.04
  4. Step 4: Simplify right side
    12,963.48x = 100,605,379.01
  5. Step 5: Solve for x
    x = 100,605,379.01/12,963.48
  6. Step 6: Final answer
    x = 7,760.68

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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.