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Finding the Fourth Proportional to 19,405.05, 29,082.44 and 8,147.63

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Solution

The fourth proportional to 19,405.05, 29,082.44 and 8,147.63 is: 12,210.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,405.05 : 29,082.44 = 8,147.63 : x
  2. Step 2: Convert to fraction form
    19,405.05/29,082.44 = 8,147.63/x
  3. Step 3: Cross multiply
    19,405.05x = 29,082.44 × 8,147.63
  4. Step 4: Simplify right side
    19,405.05x = 236,952,774.47
  5. Step 5: Solve for x
    x = 236,952,774.47/19,405.05
  6. Step 6: Final answer
    x = 12,210.88

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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.