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Finding the Fourth Proportional to 16,674, 25,019.64 and 8,466

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Solution

The fourth proportional to 16,674, 25,019.64 and 8,466 is: 12,703.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,674 : 25,019.64 = 8,466 : x
  2. Step 2: Convert to fraction form
    16,674/25,019.64 = 8,466/x
  3. Step 3: Cross multiply
    16,674x = 25,019.64 × 8,466
  4. Step 4: Simplify right side
    16,674x = 211,816,272.24
  5. Step 5: Solve for x
    x = 211,816,272.24/16,674
  6. Step 6: Final answer
    x = 12,703.39

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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.