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Finding the Fourth Proportional to 21,494.24, 32,243.37 and 7,452.08

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Solution

The fourth proportional to 21,494.24, 32,243.37 and 7,452.08 is: 11,178.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,494.24 : 32,243.37 = 7,452.08 : x
  2. Step 2: Convert to fraction form
    21,494.24/32,243.37 = 7,452.08/x
  3. Step 3: Cross multiply
    21,494.24x = 32,243.37 × 7,452.08
  4. Step 4: Simplify right side
    21,494.24x = 240,280,172.71
  5. Step 5: Solve for x
    x = 240,280,172.71/21,494.24
  6. Step 6: Final answer
    x = 11,178.82

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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.