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Finding the Fourth Proportional to 23,052.81, 31,812.02 and 12,843.60

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Solution

The fourth proportional to 23,052.81, 31,812.02 and 12,843.60 is: 17,723.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,052.81 : 31,812.02 = 12,843.60 : x
  2. Step 2: Convert to fraction form
    23,052.81/31,812.02 = 12,843.60/x
  3. Step 3: Cross multiply
    23,052.81x = 31,812.02 × 12,843.60
  4. Step 4: Simplify right side
    23,052.81x = 408,580,892.18
  5. Step 5: Solve for x
    x = 408,580,892.18/23,052.81
  6. Step 6: Final answer
    x = 17,723.69

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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.