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Finding the Fourth Proportional to 21,682.81, 32,524.21 and 6,100.43

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Solution

The fourth proportional to 21,682.81, 32,524.21 and 6,100.43 is: 9,150.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,682.81 : 32,524.21 = 6,100.43 : x
  2. Step 2: Convert to fraction form
    21,682.81/32,524.21 = 6,100.43/x
  3. Step 3: Cross multiply
    21,682.81x = 32,524.21 × 6,100.43
  4. Step 4: Simplify right side
    21,682.81x = 198,411,666.41
  5. Step 5: Solve for x
    x = 198,411,666.41/21,682.81
  6. Step 6: Final answer
    x = 9,150.65

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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.