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Finding the Fourth Proportional to 16,877, 25,315.52 and 4,565

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Solution

The fourth proportional to 16,877, 25,315.52 and 4,565 is: 6,847.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,877 : 25,315.52 = 4,565 : x
  2. Step 2: Convert to fraction form
    16,877/25,315.52 = 4,565/x
  3. Step 3: Cross multiply
    16,877x = 25,315.52 × 4,565
  4. Step 4: Simplify right side
    16,877x = 115,565,348.80
  5. Step 5: Solve for x
    x = 115,565,348.80/16,877
  6. Step 6: Final answer
    x = 6,847.51

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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.