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Finding the Fourth Proportional to 17,822.28, 24,605.90 and 11,451.44

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Solution

The fourth proportional to 17,822.28, 24,605.90 and 11,451.44 is: 15,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,822.28 : 24,605.90 = 11,451.44 : x
  2. Step 2: Convert to fraction form
    17,822.28/24,605.90 = 11,451.44/x
  3. Step 3: Cross multiply
    17,822.28x = 24,605.90 × 11,451.44
  4. Step 4: Simplify right side
    17,822.28x = 281,772,987.50
  5. Step 5: Solve for x
    x = 281,772,987.50/17,822.28
  6. Step 6: Final answer
    x = 15,810.15

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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.