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Finding the Fourth Proportional to 16,829, 25,250.66 and 6,975.44

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Solution

The fourth proportional to 16,829, 25,250.66 and 6,975.44 is: 10,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829 : 25,250.66 = 6,975.44 : x
  2. Step 2: Convert to fraction form
    16,829/25,250.66 = 6,975.44/x
  3. Step 3: Cross multiply
    16,829x = 25,250.66 × 6,975.44
  4. Step 4: Simplify right side
    16,829x = 176,134,463.79
  5. Step 5: Solve for x
    x = 176,134,463.79/16,829
  6. Step 6: Final answer
    x = 10,466.13

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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.