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Finding the Fourth Proportional to 23,836.70, 32,894.70 and 13,226.36

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Solution

The fourth proportional to 23,836.70, 32,894.70 and 13,226.36 is: 18,252.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.70 : 32,894.70 = 13,226.36 : x
  2. Step 2: Convert to fraction form
    23,836.70/32,894.70 = 13,226.36/x
  3. Step 3: Cross multiply
    23,836.70x = 32,894.70 × 13,226.36
  4. Step 4: Simplify right side
    23,836.70x = 435,077,144.29
  5. Step 5: Solve for x
    x = 435,077,144.29/23,836.70
  6. Step 6: Final answer
    x = 18,252.41

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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.