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Finding the Fourth Proportional to 14,054.26, 19,394.76 and 7,766.50

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Solution

The fourth proportional to 14,054.26, 19,394.76 and 7,766.50 is: 10,717.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.26 : 19,394.76 = 7,766.50 : x
  2. Step 2: Convert to fraction form
    14,054.26/19,394.76 = 7,766.50/x
  3. Step 3: Cross multiply
    14,054.26x = 19,394.76 × 7,766.50
  4. Step 4: Simplify right side
    14,054.26x = 150,629,403.54
  5. Step 5: Solve for x
    x = 150,629,403.54/14,054.26
  6. Step 6: Final answer
    x = 10,717.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.