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Finding the Fourth Proportional to 16,641, 24,963.12 and 4,329

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Solution

The fourth proportional to 16,641, 24,963.12 and 4,329 is: 6,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,641 : 24,963.12 = 4,329 : x
  2. Step 2: Convert to fraction form
    16,641/24,963.12 = 4,329/x
  3. Step 3: Cross multiply
    16,641x = 24,963.12 × 4,329
  4. Step 4: Simplify right side
    16,641x = 108,065,346.48
  5. Step 5: Solve for x
    x = 108,065,346.48/16,641
  6. Step 6: Final answer
    x = 6,493.92

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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.