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Finding the Fourth Proportional to 23,827.92, 32,884.02 and 13,758.20

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Solution

The fourth proportional to 23,827.92, 32,884.02 and 13,758.20 is: 18,987.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.92 : 32,884.02 = 13,758.20 : x
  2. Step 2: Convert to fraction form
    23,827.92/32,884.02 = 13,758.20/x
  3. Step 3: Cross multiply
    23,827.92x = 32,884.02 × 13,758.20
  4. Step 4: Simplify right side
    23,827.92x = 452,424,923.96
  5. Step 5: Solve for x
    x = 452,424,923.96/23,827.92
  6. Step 6: Final answer
    x = 18,987.18

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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.