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Finding the Fourth Proportional to 23,632, 32,611.80 and 13,022.64

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Solution

The fourth proportional to 23,632, 32,611.80 and 13,022.64 is: 17,971.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,632 : 32,611.80 = 13,022.64 : x
  2. Step 2: Convert to fraction form
    23,632/32,611.80 = 13,022.64/x
  3. Step 3: Cross multiply
    23,632x = 32,611.80 × 13,022.64
  4. Step 4: Simplify right side
    23,632x = 424,691,731.15
  5. Step 5: Solve for x
    x = 424,691,731.15/23,632
  6. Step 6: Final answer
    x = 17,971.04

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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.