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Finding the Fourth Proportional to 17,578.32, 24,265.08 and 11,530.86

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Solution

The fourth proportional to 17,578.32, 24,265.08 and 11,530.86 is: 15,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,578.32 : 24,265.08 = 11,530.86 : x
  2. Step 2: Convert to fraction form
    17,578.32/24,265.08 = 11,530.86/x
  3. Step 3: Cross multiply
    17,578.32x = 24,265.08 × 11,530.86
  4. Step 4: Simplify right side
    17,578.32x = 279,797,240.37
  5. Step 5: Solve for x
    x = 279,797,240.37/17,578.32
  6. Step 6: Final answer
    x = 15,917.18

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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.