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Finding the Fourth Proportional to 21,644.01, 32,467.87 and 7,602.81

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Solution

The fourth proportional to 21,644.01, 32,467.87 and 7,602.81 is: 11,404.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,644.01 : 32,467.87 = 7,602.81 : x
  2. Step 2: Convert to fraction form
    21,644.01/32,467.87 = 7,602.81/x
  3. Step 3: Cross multiply
    21,644.01x = 32,467.87 × 7,602.81
  4. Step 4: Simplify right side
    21,644.01x = 246,847,008.70
  5. Step 5: Solve for x
    x = 246,847,008.70/21,644.01
  6. Step 6: Final answer
    x = 11,404.86

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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.