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Finding the Fourth Proportional to 16,039, 24,068.22 and 6,805

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Solution

The fourth proportional to 16,039, 24,068.22 and 6,805 is: 10,211.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,039 : 24,068.22 = 6,805 : x
  2. Step 2: Convert to fraction form
    16,039/24,068.22 = 6,805/x
  3. Step 3: Cross multiply
    16,039x = 24,068.22 × 6,805
  4. Step 4: Simplify right side
    16,039x = 163,784,237.10
  5. Step 5: Solve for x
    x = 163,784,237.10/16,039
  6. Step 6: Final answer
    x = 10,211.62

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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.