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Finding the Fourth Proportional to 16,329.21, 24,493.29 and 4,642.43

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Solution

The fourth proportional to 16,329.21, 24,493.29 and 4,642.43 is: 6,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,329.21 : 24,493.29 = 4,642.43 : x
  2. Step 2: Convert to fraction form
    16,329.21/24,493.29 = 4,642.43/x
  3. Step 3: Cross multiply
    16,329.21x = 24,493.29 × 4,642.43
  4. Step 4: Simplify right side
    16,329.21x = 113,708,261.83
  5. Step 5: Solve for x
    x = 113,708,261.83/16,329.21
  6. Step 6: Final answer
    x = 6,963.49

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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.