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Finding the Fourth Proportional to 12,854.66, 19,284.15 and 4,092.26

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Solution

The fourth proportional to 12,854.66, 19,284.15 and 4,092.26 is: 6,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,854.66 : 19,284.15 = 4,092.26 : x
  2. Step 2: Convert to fraction form
    12,854.66/19,284.15 = 4,092.26/x
  3. Step 3: Cross multiply
    12,854.66x = 19,284.15 × 4,092.26
  4. Step 4: Simplify right side
    12,854.66x = 78,915,755.68
  5. Step 5: Solve for x
    x = 78,915,755.68/12,854.66
  6. Step 6: Final answer
    x = 6,139.08

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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.