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Finding the Fourth Proportional to 23,404.58, 32,297.64 and 12,794.22

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Solution

The fourth proportional to 23,404.58, 32,297.64 and 12,794.22 is: 17,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,404.58 : 32,297.64 = 12,794.22 : x
  2. Step 2: Convert to fraction form
    23,404.58/32,297.64 = 12,794.22/x
  3. Step 3: Cross multiply
    23,404.58x = 32,297.64 × 12,794.22
  4. Step 4: Simplify right side
    23,404.58x = 413,223,063.66
  5. Step 5: Solve for x
    x = 413,223,063.66/23,404.58
  6. Step 6: Final answer
    x = 17,655.65

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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.