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Finding the Fourth Proportional to 17,590.10, 24,274.37 and 9,523.84

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Solution

The fourth proportional to 17,590.10, 24,274.37 and 9,523.84 is: 13,142.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,590.10 : 24,274.37 = 9,523.84 : x
  2. Step 2: Convert to fraction form
    17,590.10/24,274.37 = 9,523.84/x
  3. Step 3: Cross multiply
    17,590.10x = 24,274.37 × 9,523.84
  4. Step 4: Simplify right side
    17,590.10x = 231,185,179.10
  5. Step 5: Solve for x
    x = 231,185,179.10/17,590.10
  6. Step 6: Final answer
    x = 13,142.91

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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.