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Finding the Fourth Proportional to 23,188.68, 32,000.13 and 12,578.22

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Solution

The fourth proportional to 23,188.68, 32,000.13 and 12,578.22 is: 17,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.68 : 32,000.13 = 12,578.22 : x
  2. Step 2: Convert to fraction form
    23,188.68/32,000.13 = 12,578.22/x
  3. Step 3: Cross multiply
    23,188.68x = 32,000.13 × 12,578.22
  4. Step 4: Simplify right side
    23,188.68x = 402,504,675.17
  5. Step 5: Solve for x
    x = 402,504,675.17/23,188.68
  6. Step 6: Final answer
    x = 17,357.81

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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.