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Finding the Fourth Proportional to 23,398.64, 32,290.22 and 12,788.28

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Solution

The fourth proportional to 23,398.64, 32,290.22 and 12,788.28 is: 17,647.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,398.64 : 32,290.22 = 12,788.28 : x
  2. Step 2: Convert to fraction form
    23,398.64/32,290.22 = 12,788.28/x
  3. Step 3: Cross multiply
    23,398.64x = 32,290.22 × 12,788.28
  4. Step 4: Simplify right side
    23,398.64x = 412,936,310.68
  5. Step 5: Solve for x
    x = 412,936,310.68/23,398.64
  6. Step 6: Final answer
    x = 17,647.88

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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.