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Finding the Fourth Proportional to 16,711.62, 25,064.61 and 7,827.90

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Solution

The fourth proportional to 16,711.62, 25,064.61 and 7,827.90 is: 11,740.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,711.62 : 25,064.61 = 7,827.90 : x
  2. Step 2: Convert to fraction form
    16,711.62/25,064.61 = 7,827.90/x
  3. Step 3: Cross multiply
    16,711.62x = 25,064.61 × 7,827.90
  4. Step 4: Simplify right side
    16,711.62x = 196,203,260.62
  5. Step 5: Solve for x
    x = 196,203,260.62/16,711.62
  6. Step 6: Final answer
    x = 11,740.53

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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.