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Finding the Fourth Proportional to 16,350, 24,528.84 and 5,406

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Solution

The fourth proportional to 16,350, 24,528.84 and 5,406 is: 8,110.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350 : 24,528.84 = 5,406 : x
  2. Step 2: Convert to fraction form
    16,350/24,528.84 = 5,406/x
  3. Step 3: Cross multiply
    16,350x = 24,528.84 × 5,406
  4. Step 4: Simplify right side
    16,350x = 132,602,909.04
  5. Step 5: Solve for x
    x = 132,602,909.04/16,350
  6. Step 6: Final answer
    x = 8,110.27

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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.