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Finding the Fourth Proportional to 16,397.96, 22,623.78 and 9,321.80

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Solution

The fourth proportional to 16,397.96, 22,623.78 and 9,321.80 is: 12,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,397.96 : 22,623.78 = 9,321.80 : x
  2. Step 2: Convert to fraction form
    16,397.96/22,623.78 = 9,321.80/x
  3. Step 3: Cross multiply
    16,397.96x = 22,623.78 × 9,321.80
  4. Step 4: Simplify right side
    16,397.96x = 210,894,352.40
  5. Step 5: Solve for x
    x = 210,894,352.40/16,397.96
  6. Step 6: Final answer
    x = 12,861.01

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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.