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Finding the Fourth Proportional to 19,507.82, 29,204.61 and 12,089.90

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Solution

The fourth proportional to 19,507.82, 29,204.61 and 12,089.90 is: 18,099.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,507.82 : 29,204.61 = 12,089.90 : x
  2. Step 2: Convert to fraction form
    19,507.82/29,204.61 = 12,089.90/x
  3. Step 3: Cross multiply
    19,507.82x = 29,204.61 × 12,089.90
  4. Step 4: Simplify right side
    19,507.82x = 353,080,814.44
  5. Step 5: Solve for x
    x = 353,080,814.44/19,507.82
  6. Step 6: Final answer
    x = 18,099.45

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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.