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Finding the Fourth Proportional to 16,156, 24,220.88 and 6,928.48

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Solution

The fourth proportional to 16,156, 24,220.88 and 6,928.48 is: 10,387.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,156 : 24,220.88 = 6,928.48 : x
  2. Step 2: Convert to fraction form
    16,156/24,220.88 = 6,928.48/x
  3. Step 3: Cross multiply
    16,156x = 24,220.88 × 6,928.48
  4. Step 4: Simplify right side
    16,156x = 167,813,882.66
  5. Step 5: Solve for x
    x = 167,813,882.66/16,156
  6. Step 6: Final answer
    x = 10,387.09

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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.