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Finding the Fourth Proportional to 30,611.96, 42,245.24 and 17,184.20

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Solution

The fourth proportional to 30,611.96, 42,245.24 and 17,184.20 is: 23,714.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,611.96 : 42,245.24 = 17,184.20 : x
  2. Step 2: Convert to fraction form
    30,611.96/42,245.24 = 17,184.20/x
  3. Step 3: Cross multiply
    30,611.96x = 42,245.24 × 17,184.20
  4. Step 4: Simplify right side
    30,611.96x = 725,950,653.21
  5. Step 5: Solve for x
    x = 725,950,653.21/30,611.96
  6. Step 6: Final answer
    x = 23,714.61

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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.