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Finding the Fourth Proportional to 23,157.25, 31,957.01 and 12,546.88

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Solution

The fourth proportional to 23,157.25, 31,957.01 and 12,546.88 is: 17,314.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,157.25 : 31,957.01 = 12,546.88 : x
  2. Step 2: Convert to fraction form
    23,157.25/31,957.01 = 12,546.88/x
  3. Step 3: Cross multiply
    23,157.25x = 31,957.01 × 12,546.88
  4. Step 4: Simplify right side
    23,157.25x = 400,960,853.81
  5. Step 5: Solve for x
    x = 400,960,853.81/23,157.25
  6. Step 6: Final answer
    x = 17,314.70

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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.