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Finding the Fourth Proportional to 19,644.75, 29,464.24 and 6,497.31

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Solution

The fourth proportional to 19,644.75, 29,464.24 and 6,497.31 is: 9,745.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.75 : 29,464.24 = 6,497.31 : x
  2. Step 2: Convert to fraction form
    19,644.75/29,464.24 = 6,497.31/x
  3. Step 3: Cross multiply
    19,644.75x = 29,464.24 × 6,497.31
  4. Step 4: Simplify right side
    19,644.75x = 191,438,301.19
  5. Step 5: Solve for x
    x = 191,438,301.19/19,644.75
  6. Step 6: Final answer
    x = 9,745.01

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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.