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Finding the Fourth Proportional to 16,198.70, 24,298 and 5,106.36

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Solution

The fourth proportional to 16,198.70, 24,298 and 5,106.36 is: 7,659.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,198.70 : 24,298 = 5,106.36 : x
  2. Step 2: Convert to fraction form
    16,198.70/24,298 = 5,106.36/x
  3. Step 3: Cross multiply
    16,198.70x = 24,298 × 5,106.36
  4. Step 4: Simplify right side
    16,198.70x = 124,074,335.28
  5. Step 5: Solve for x
    x = 124,074,335.28/16,198.70
  6. Step 6: Final answer
    x = 7,659.52

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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.