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Finding the Fourth Proportional to 16,833.60, 25,251.60 and 5,146.80

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Solution

The fourth proportional to 16,833.60, 25,251.60 and 5,146.80 is: 7,720.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833.60 : 25,251.60 = 5,146.80 : x
  2. Step 2: Convert to fraction form
    16,833.60/25,251.60 = 5,146.80/x
  3. Step 3: Cross multiply
    16,833.60x = 25,251.60 × 5,146.80
  4. Step 4: Simplify right side
    16,833.60x = 129,964,934.88
  5. Step 5: Solve for x
    x = 129,964,934.88/16,833.60
  6. Step 6: Final answer
    x = 7,720.57

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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.