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Finding the Fourth Proportional to 19,500.25, 29,253.42 and 6,349.53

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Solution

The fourth proportional to 19,500.25, 29,253.42 and 6,349.53 is: 9,525.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,500.25 : 29,253.42 = 6,349.53 : x
  2. Step 2: Convert to fraction form
    19,500.25/29,253.42 = 6,349.53/x
  3. Step 3: Cross multiply
    19,500.25x = 29,253.42 × 6,349.53
  4. Step 4: Simplify right side
    19,500.25x = 185,745,467.89
  5. Step 5: Solve for x
    x = 185,745,467.89/19,500.25
  6. Step 6: Final answer
    x = 9,525.29

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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.