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Finding the Fourth Proportional to 17,823.25, 24,601.56 and 10,274.62

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Solution

The fourth proportional to 17,823.25, 24,601.56 and 10,274.62 is: 14,182.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.25 : 24,601.56 = 10,274.62 : x
  2. Step 2: Convert to fraction form
    17,823.25/24,601.56 = 10,274.62/x
  3. Step 3: Cross multiply
    17,823.25x = 24,601.56 × 10,274.62
  4. Step 4: Simplify right side
    17,823.25x = 252,771,739.04
  5. Step 5: Solve for x
    x = 252,771,739.04/17,823.25
  6. Step 6: Final answer
    x = 14,182.13

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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.