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Finding the Fourth Proportional to 16,675, 25,012.74 and 4,363

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Solution

The fourth proportional to 16,675, 25,012.74 and 4,363 is: 6,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,675 : 25,012.74 = 4,363 : x
  2. Step 2: Convert to fraction form
    16,675/25,012.74 = 4,363/x
  3. Step 3: Cross multiply
    16,675x = 25,012.74 × 4,363
  4. Step 4: Simplify right side
    16,675x = 109,130,584.62
  5. Step 5: Solve for x
    x = 109,130,584.62/16,675
  6. Step 6: Final answer
    x = 6,544.56

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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.