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Finding the Fourth Proportional to 19,385.69, 29,078.65 and 6,906.20

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Solution

The fourth proportional to 19,385.69, 29,078.65 and 6,906.20 is: 10,359.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,385.69 : 29,078.65 = 6,906.20 : x
  2. Step 2: Convert to fraction form
    19,385.69/29,078.65 = 6,906.20/x
  3. Step 3: Cross multiply
    19,385.69x = 29,078.65 × 6,906.20
  4. Step 4: Simplify right side
    19,385.69x = 200,822,972.63
  5. Step 5: Solve for x
    x = 200,822,972.63/19,385.69
  6. Step 6: Final answer
    x = 10,359.34

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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.