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Finding the Fourth Proportional to 19,863.24, 29,798.10 and 6,009

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Solution

The fourth proportional to 19,863.24, 29,798.10 and 6,009 is: 9,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,863.24 : 29,798.10 = 6,009 : x
  2. Step 2: Convert to fraction form
    19,863.24/29,798.10 = 6,009/x
  3. Step 3: Cross multiply
    19,863.24x = 29,798.10 × 6,009
  4. Step 4: Simplify right side
    19,863.24x = 179,056,782.90
  5. Step 5: Solve for x
    x = 179,056,782.90/19,863.24
  6. Step 6: Final answer
    x = 9,014.48

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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.