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Finding the Fourth Proportional to 17,827.67, 24,601.35 and 10,274.22

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Solution

The fourth proportional to 17,827.67, 24,601.35 and 10,274.22 is: 14,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,827.67 : 24,601.35 = 10,274.22 : x
  2. Step 2: Convert to fraction form
    17,827.67/24,601.35 = 10,274.22/x
  3. Step 3: Cross multiply
    17,827.67x = 24,601.35 × 10,274.22
  4. Step 4: Simplify right side
    17,827.67x = 252,759,682.20
  5. Step 5: Solve for x
    x = 252,759,682.20/17,827.67
  6. Step 6: Final answer
    x = 14,177.94

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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.