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Finding the Fourth Proportional to 16,298.50, 24,447.78 and 5,910.28

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Solution

The fourth proportional to 16,298.50, 24,447.78 and 5,910.28 is: 8,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,298.50 : 24,447.78 = 5,910.28 : x
  2. Step 2: Convert to fraction form
    16,298.50/24,447.78 = 5,910.28/x
  3. Step 3: Cross multiply
    16,298.50x = 24,447.78 × 5,910.28
  4. Step 4: Simplify right side
    16,298.50x = 144,493,225.18
  5. Step 5: Solve for x
    x = 144,493,225.18/16,298.50
  6. Step 6: Final answer
    x = 8,865.43

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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.