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Finding the Fourth Proportional to 22,366.92, 30,866.32 and 12,296

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Solution

The fourth proportional to 22,366.92, 30,866.32 and 12,296 is: 16,968.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,366.92 : 30,866.32 = 12,296 : x
  2. Step 2: Convert to fraction form
    22,366.92/30,866.32 = 12,296/x
  3. Step 3: Cross multiply
    22,366.92x = 30,866.32 × 12,296
  4. Step 4: Simplify right side
    22,366.92x = 379,532,270.72
  5. Step 5: Solve for x
    x = 379,532,270.72/22,366.92
  6. Step 6: Final answer
    x = 16,968.46

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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.