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Finding the Fourth Proportional to 16,878.28, 25,315.24 and 5,191.24

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Solution

The fourth proportional to 16,878.28, 25,315.24 and 5,191.24 is: 7,786.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,878.28 : 25,315.24 = 5,191.24 : x
  2. Step 2: Convert to fraction form
    16,878.28/25,315.24 = 5,191.24/x
  3. Step 3: Cross multiply
    16,878.28x = 25,315.24 × 5,191.24
  4. Step 4: Simplify right side
    16,878.28x = 131,417,486.50
  5. Step 5: Solve for x
    x = 131,417,486.50/16,878.28
  6. Step 6: Final answer
    x = 7,786.19

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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.