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Finding the Fourth Proportional to 23,611.71, 32,584.13 and 13,001.25

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Solution

The fourth proportional to 23,611.71, 32,584.13 and 13,001.25 is: 17,941.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.71 : 32,584.13 = 13,001.25 : x
  2. Step 2: Convert to fraction form
    23,611.71/32,584.13 = 13,001.25/x
  3. Step 3: Cross multiply
    23,611.71x = 32,584.13 × 13,001.25
  4. Step 4: Simplify right side
    23,611.71x = 423,634,355.16
  5. Step 5: Solve for x
    x = 423,634,355.16/23,611.71
  6. Step 6: Final answer
    x = 17,941.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.