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Finding the Fourth Proportional to 21,485.24, 32,229.26 and 7,446.68

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Solution

The fourth proportional to 21,485.24, 32,229.26 and 7,446.68 is: 11,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,485.24 : 32,229.26 = 7,446.68 : x
  2. Step 2: Convert to fraction form
    21,485.24/32,229.26 = 7,446.68/x
  3. Step 3: Cross multiply
    21,485.24x = 32,229.26 × 7,446.68
  4. Step 4: Simplify right side
    21,485.24x = 240,000,985.86
  5. Step 5: Solve for x
    x = 240,000,985.86/21,485.24
  6. Step 6: Final answer
    x = 11,170.51

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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.