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Finding the Fourth Proportional to 16,899.87, 25,352.25 and 5,214

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Solution

The fourth proportional to 16,899.87, 25,352.25 and 5,214 is: 7,821.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,899.87 : 25,352.25 = 5,214 : x
  2. Step 2: Convert to fraction form
    16,899.87/25,352.25 = 5,214/x
  3. Step 3: Cross multiply
    16,899.87x = 25,352.25 × 5,214
  4. Step 4: Simplify right side
    16,899.87x = 132,186,631.50
  5. Step 5: Solve for x
    x = 132,186,631.50/16,899.87
  6. Step 6: Final answer
    x = 7,821.75

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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.