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Finding the Fourth Proportional to 16,408.14, 22,643.10 and 8,956.14

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Solution

The fourth proportional to 16,408.14, 22,643.10 and 8,956.14 is: 12,359.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,408.14 : 22,643.10 = 8,956.14 : x
  2. Step 2: Convert to fraction form
    16,408.14/22,643.10 = 8,956.14/x
  3. Step 3: Cross multiply
    16,408.14x = 22,643.10 × 8,956.14
  4. Step 4: Simplify right side
    16,408.14x = 202,794,773.63
  5. Step 5: Solve for x
    x = 202,794,773.63/16,408.14
  6. Step 6: Final answer
    x = 12,359.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.