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Finding the Fourth Proportional to 11,874.42, 17,723.94 and 10,473.63

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Solution

The fourth proportional to 11,874.42, 17,723.94 and 10,473.63 is: 15,633.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.42 : 17,723.94 = 10,473.63 : x
  2. Step 2: Convert to fraction form
    11,874.42/17,723.94 = 10,473.63/x
  3. Step 3: Cross multiply
    11,874.42x = 17,723.94 × 10,473.63
  4. Step 4: Simplify right side
    11,874.42x = 185,633,937.33
  5. Step 5: Solve for x
    x = 185,633,937.33/11,874.42
  6. Step 6: Final answer
    x = 15,633.10

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.