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Finding the Fourth Proportional to 16,684.92, 23,024.94 and 9,131.64

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Solution

The fourth proportional to 16,684.92, 23,024.94 and 9,131.64 is: 12,601.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,684.92 : 23,024.94 = 9,131.64 : x
  2. Step 2: Convert to fraction form
    16,684.92/23,024.94 = 9,131.64/x
  3. Step 3: Cross multiply
    16,684.92x = 23,024.94 × 9,131.64
  4. Step 4: Simplify right side
    16,684.92x = 210,255,463.10
  5. Step 5: Solve for x
    x = 210,255,463.10/16,684.92
  6. Step 6: Final answer
    x = 12,601.53

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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.