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Finding the Fourth Proportional to 16,861, 25,274.22 and 7,006

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Solution

The fourth proportional to 16,861, 25,274.22 and 7,006 is: 10,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,861 : 25,274.22 = 7,006 : x
  2. Step 2: Convert to fraction form
    16,861/25,274.22 = 7,006/x
  3. Step 3: Cross multiply
    16,861x = 25,274.22 × 7,006
  4. Step 4: Simplify right side
    16,861x = 177,071,185.32
  5. Step 5: Solve for x
    x = 177,071,185.32/16,861
  6. Step 6: Final answer
    x = 10,501.82

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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.