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Finding the Fourth Proportional to 23,194.53, 32,008.46 and 12,584.17

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Solution

The fourth proportional to 23,194.53, 32,008.46 and 12,584.17 is: 17,366.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,194.53 : 32,008.46 = 12,584.17 : x
  2. Step 2: Convert to fraction form
    23,194.53/32,008.46 = 12,584.17/x
  3. Step 3: Cross multiply
    23,194.53x = 32,008.46 × 12,584.17
  4. Step 4: Simplify right side
    23,194.53x = 402,799,806.33
  5. Step 5: Solve for x
    x = 402,799,806.33/23,194.53
  6. Step 6: Final answer
    x = 17,366.15

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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.