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Finding the Fourth Proportional to 22,951.73, 31,674.90 and 12,880.86

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Solution

The fourth proportional to 22,951.73, 31,674.90 and 12,880.86 is: 17,776.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,951.73 : 31,674.90 = 12,880.86 : x
  2. Step 2: Convert to fraction form
    22,951.73/31,674.90 = 12,880.86/x
  3. Step 3: Cross multiply
    22,951.73x = 31,674.90 × 12,880.86
  4. Step 4: Simplify right side
    22,951.73x = 407,999,952.41
  5. Step 5: Solve for x
    x = 407,999,952.41/22,951.73
  6. Step 6: Final answer
    x = 17,776.44

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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.