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Finding the Fourth Proportional to 17,823.22, 24,601.52 and 10,274.60

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Solution

The fourth proportional to 17,823.22, 24,601.52 and 10,274.60 is: 14,182.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.22 : 24,601.52 = 10,274.60 : x
  2. Step 2: Convert to fraction form
    17,823.22/24,601.52 = 10,274.60/x
  3. Step 3: Cross multiply
    17,823.22x = 24,601.52 × 10,274.60
  4. Step 4: Simplify right side
    17,823.22x = 252,770,603.01
  5. Step 5: Solve for x
    x = 252,770,603.01/17,823.22
  6. Step 6: Final answer
    x = 14,182.10

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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.