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Finding the Fourth Proportional to 23,836.40, 32,894.49 and 13,226.21

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Solution

The fourth proportional to 23,836.40, 32,894.49 and 13,226.21 is: 18,252.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,836.40 : 32,894.49 = 13,226.21 : x
  2. Step 2: Convert to fraction form
    23,836.40/32,894.49 = 13,226.21/x
  3. Step 3: Cross multiply
    23,836.40x = 32,894.49 × 13,226.21
  4. Step 4: Simplify right side
    23,836.40x = 435,069,432.58
  5. Step 5: Solve for x
    x = 435,069,432.58/23,836.40
  6. Step 6: Final answer
    x = 18,252.31

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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.