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Finding the Fourth Proportional to 23,611.44, 32,584 and 13,001.45

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Solution

The fourth proportional to 23,611.44, 32,584 and 13,001.45 is: 17,942.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,611.44 : 32,584 = 13,001.45 : x
  2. Step 2: Convert to fraction form
    23,611.44/32,584 = 13,001.45/x
  3. Step 3: Cross multiply
    23,611.44x = 32,584 × 13,001.45
  4. Step 4: Simplify right side
    23,611.44x = 423,639,246.80
  5. Step 5: Solve for x
    x = 423,639,246.80/23,611.44
  6. Step 6: Final answer
    x = 17,942.12

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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.