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Finding the Fourth Proportional to 19,294.24, 28,918.68 and 8,194

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Solution

The fourth proportional to 19,294.24, 28,918.68 and 8,194 is: 12,281.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294.24 : 28,918.68 = 8,194 : x
  2. Step 2: Convert to fraction form
    19,294.24/28,918.68 = 8,194/x
  3. Step 3: Cross multiply
    19,294.24x = 28,918.68 × 8,194
  4. Step 4: Simplify right side
    19,294.24x = 236,959,663.92
  5. Step 5: Solve for x
    x = 236,959,663.92/19,294.24
  6. Step 6: Final answer
    x = 12,281.37

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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.