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Finding the Fourth Proportional to 16,806, 25,213.17 and 6,948.12

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Solution

The fourth proportional to 16,806, 25,213.17 and 6,948.12 is: 10,423.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,806 : 25,213.17 = 6,948.12 : x
  2. Step 2: Convert to fraction form
    16,806/25,213.17 = 6,948.12/x
  3. Step 3: Cross multiply
    16,806x = 25,213.17 × 6,948.12
  4. Step 4: Simplify right side
    16,806x = 175,184,130.74
  5. Step 5: Solve for x
    x = 175,184,130.74/16,806
  6. Step 6: Final answer
    x = 10,423.90

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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.