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Finding the Fourth Proportional to 23,649.19, 32,635.44 and 12,894.14

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Solution

The fourth proportional to 23,649.19, 32,635.44 and 12,894.14 is: 17,793.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.19 : 32,635.44 = 12,894.14 : x
  2. Step 2: Convert to fraction form
    23,649.19/32,635.44 = 12,894.14/x
  3. Step 3: Cross multiply
    23,649.19x = 32,635.44 × 12,894.14
  4. Step 4: Simplify right side
    23,649.19x = 420,806,013.91
  5. Step 5: Solve for x
    x = 420,806,013.91/23,649.19
  6. Step 6: Final answer
    x = 17,793.68

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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.