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Finding the Fourth Proportional to 23,188.67, 32,000.21 and 12,578.32

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Solution

The fourth proportional to 23,188.67, 32,000.21 and 12,578.32 is: 17,357.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,188.67 : 32,000.21 = 12,578.32 : x
  2. Step 2: Convert to fraction form
    23,188.67/32,000.21 = 12,578.32/x
  3. Step 3: Cross multiply
    23,188.67x = 32,000.21 × 12,578.32
  4. Step 4: Simplify right side
    23,188.67x = 402,508,738.56
  5. Step 5: Solve for x
    x = 402,508,738.56/23,188.67
  6. Step 6: Final answer
    x = 17,357.99

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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.