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Finding the Fourth Proportional to 19,453.96, 29,188.50 and 7,775.38

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Solution

The fourth proportional to 19,453.96, 29,188.50 and 7,775.38 is: 11,666.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,453.96 : 29,188.50 = 7,775.38 : x
  2. Step 2: Convert to fraction form
    19,453.96/29,188.50 = 7,775.38/x
  3. Step 3: Cross multiply
    19,453.96x = 29,188.50 × 7,775.38
  4. Step 4: Simplify right side
    19,453.96x = 226,951,679.13
  5. Step 5: Solve for x
    x = 226,951,679.13/19,453.96
  6. Step 6: Final answer
    x = 11,666.09

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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.