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Finding the Fourth Proportional to 19,854.25, 29,774.77 and 8,004.96

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Solution

The fourth proportional to 19,854.25, 29,774.77 and 8,004.96 is: 12,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,854.25 : 29,774.77 = 8,004.96 : x
  2. Step 2: Convert to fraction form
    19,854.25/29,774.77 = 8,004.96/x
  3. Step 3: Cross multiply
    19,854.25x = 29,774.77 × 8,004.96
  4. Step 4: Simplify right side
    19,854.25x = 238,345,976.60
  5. Step 5: Solve for x
    x = 238,345,976.60/19,854.25
  6. Step 6: Final answer
    x = 12,004.78

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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.