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Finding the Fourth Proportional to 19,832.96, 29,748.63 and 8,145.88

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Solution

The fourth proportional to 19,832.96, 29,748.63 and 8,145.88 is: 12,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,832.96 : 29,748.63 = 8,145.88 : x
  2. Step 2: Convert to fraction form
    19,832.96/29,748.63 = 8,145.88/x
  3. Step 3: Cross multiply
    19,832.96x = 29,748.63 × 8,145.88
  4. Step 4: Simplify right side
    19,832.96x = 242,328,770.14
  5. Step 5: Solve for x
    x = 242,328,770.14/19,832.96
  6. Step 6: Final answer
    x = 12,218.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.