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Finding the Fourth Proportional to 21,500.80, 32,245.92 and 7,649.92

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Solution

The fourth proportional to 21,500.80, 32,245.92 and 7,649.92 is: 11,473.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,500.80 : 32,245.92 = 7,649.92 : x
  2. Step 2: Convert to fraction form
    21,500.80/32,245.92 = 7,649.92/x
  3. Step 3: Cross multiply
    21,500.80x = 32,245.92 × 7,649.92
  4. Step 4: Simplify right side
    21,500.80x = 246,678,708.33
  5. Step 5: Solve for x
    x = 246,678,708.33/21,500.80
  6. Step 6: Final answer
    x = 11,473.00

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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.