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Finding the Fourth Proportional to 12,794.34, 19,176.92 and 5,854.26

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Solution

The fourth proportional to 12,794.34, 19,176.92 and 5,854.26 is: 8,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.34 : 19,176.92 = 5,854.26 : x
  2. Step 2: Convert to fraction form
    12,794.34/19,176.92 = 5,854.26/x
  3. Step 3: Cross multiply
    12,794.34x = 19,176.92 × 5,854.26
  4. Step 4: Simplify right side
    12,794.34x = 112,266,675.68
  5. Step 5: Solve for x
    x = 112,266,675.68/12,794.34
  6. Step 6: Final answer
    x = 8,774.71

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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.