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Finding the Fourth Proportional to 16,956.47, 25,408.88 and 8,624

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Solution

The fourth proportional to 16,956.47, 25,408.88 and 8,624 is: 12,922.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,956.47 : 25,408.88 = 8,624 : x
  2. Step 2: Convert to fraction form
    16,956.47/25,408.88 = 8,624/x
  3. Step 3: Cross multiply
    16,956.47x = 25,408.88 × 8,624
  4. Step 4: Simplify right side
    16,956.47x = 219,126,181.12
  5. Step 5: Solve for x
    x = 219,126,181.12/16,956.47
  6. Step 6: Final answer
    x = 12,922.87

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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.