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Finding the Fourth Proportional to 21,711.66, 32,523.81 and 16,455.66

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Solution

The fourth proportional to 21,711.66, 32,523.81 and 16,455.66 is: 24,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,711.66 : 32,523.81 = 16,455.66 : x
  2. Step 2: Convert to fraction form
    21,711.66/32,523.81 = 16,455.66/x
  3. Step 3: Cross multiply
    21,711.66x = 32,523.81 × 16,455.66
  4. Step 4: Simplify right side
    21,711.66x = 535,200,759.26
  5. Step 5: Solve for x
    x = 535,200,759.26/21,711.66
  6. Step 6: Final answer
    x = 24,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.