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Finding the Fourth Proportional to 22,893.96, 31,591.54 and 12,957.96

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Solution

The fourth proportional to 22,893.96, 31,591.54 and 12,957.96 is: 17,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,893.96 : 31,591.54 = 12,957.96 : x
  2. Step 2: Convert to fraction form
    22,893.96/31,591.54 = 12,957.96/x
  3. Step 3: Cross multiply
    22,893.96x = 31,591.54 × 12,957.96
  4. Step 4: Simplify right side
    22,893.96x = 409,361,911.66
  5. Step 5: Solve for x
    x = 409,361,911.66/22,893.96
  6. Step 6: Final answer
    x = 17,880.78

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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.