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Finding the Fourth Proportional to 14,054.24, 19,393.20 and 7,766.24

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Solution

The fourth proportional to 14,054.24, 19,393.20 and 7,766.24 is: 10,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,054.24 : 19,393.20 = 7,766.24 : x
  2. Step 2: Convert to fraction form
    14,054.24/19,393.20 = 7,766.24/x
  3. Step 3: Cross multiply
    14,054.24x = 19,393.20 × 7,766.24
  4. Step 4: Simplify right side
    14,054.24x = 150,612,245.57
  5. Step 5: Solve for x
    x = 150,612,245.57/14,054.24
  6. Step 6: Final answer
    x = 10,716.50

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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.