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Finding the Fourth Proportional to 16,236, 24,355.20 and 4,548.78

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Solution

The fourth proportional to 16,236, 24,355.20 and 4,548.78 is: 6,823.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236 : 24,355.20 = 4,548.78 : x
  2. Step 2: Convert to fraction form
    16,236/24,355.20 = 4,548.78/x
  3. Step 3: Cross multiply
    16,236x = 24,355.20 × 4,548.78
  4. Step 4: Simplify right side
    16,236x = 110,786,446.66
  5. Step 5: Solve for x
    x = 110,786,446.66/16,236
  6. Step 6: Final answer
    x = 6,823.51

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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.