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Finding the Fourth Proportional to 19,509.24, 29,264.10 and 5,468.44

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Solution

The fourth proportional to 19,509.24, 29,264.10 and 5,468.44 is: 8,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,509.24 : 29,264.10 = 5,468.44 : x
  2. Step 2: Convert to fraction form
    19,509.24/29,264.10 = 5,468.44/x
  3. Step 3: Cross multiply
    19,509.24x = 29,264.10 × 5,468.44
  4. Step 4: Simplify right side
    19,509.24x = 160,028,975.00
  5. Step 5: Solve for x
    x = 160,028,975.00/19,509.24
  6. Step 6: Final answer
    x = 8,202.73

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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.