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Finding the Fourth Proportional to 16,196.56, 24,298.92 and 5,102.80

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Solution

The fourth proportional to 16,196.56, 24,298.92 and 5,102.80 is: 7,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.56 : 24,298.92 = 5,102.80 : x
  2. Step 2: Convert to fraction form
    16,196.56/24,298.92 = 5,102.80/x
  3. Step 3: Cross multiply
    16,196.56x = 24,298.92 × 5,102.80
  4. Step 4: Simplify right side
    16,196.56x = 123,992,528.98
  5. Step 5: Solve for x
    x = 123,992,528.98/16,196.56
  6. Step 6: Final answer
    x = 7,655.49

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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.