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Finding the Fourth Proportional to 23,549.14, 32,499.84 and 12,940.84

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Solution

The fourth proportional to 23,549.14, 32,499.84 and 12,940.84 is: 17,859.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549.14 : 32,499.84 = 12,940.84 : x
  2. Step 2: Convert to fraction form
    23,549.14/32,499.84 = 12,940.84/x
  3. Step 3: Cross multiply
    23,549.14x = 32,499.84 × 12,940.84
  4. Step 4: Simplify right side
    23,549.14x = 420,575,229.47
  5. Step 5: Solve for x
    x = 420,575,229.47/23,549.14
  6. Step 6: Final answer
    x = 17,859.47

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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.