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Finding the Fourth Proportional to 16,496.61, 22,765.35 and 8,942.87

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Solution

The fourth proportional to 16,496.61, 22,765.35 and 8,942.87 is: 12,341.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,496.61 : 22,765.35 = 8,942.87 : x
  2. Step 2: Convert to fraction form
    16,496.61/22,765.35 = 8,942.87/x
  3. Step 3: Cross multiply
    16,496.61x = 22,765.35 × 8,942.87
  4. Step 4: Simplify right side
    16,496.61x = 203,587,656.00
  5. Step 5: Solve for x
    x = 203,587,656.00/16,496.61
  6. Step 6: Final answer
    x = 12,341.18

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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.