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Finding the Fourth Proportional to 21,649.89, 32,503.38 and 21,400.81

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Solution

The fourth proportional to 21,649.89, 32,503.38 and 21,400.81 is: 32,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,649.89 : 32,503.38 = 21,400.81 : x
  2. Step 2: Convert to fraction form
    21,649.89/32,503.38 = 21,400.81/x
  3. Step 3: Cross multiply
    21,649.89x = 32,503.38 × 21,400.81
  4. Step 4: Simplify right side
    21,649.89x = 695,598,659.74
  5. Step 5: Solve for x
    x = 695,598,659.74/21,649.89
  6. Step 6: Final answer
    x = 32,129.43

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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.