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Finding the Fourth Proportional to 14,392.87, 21,571.16 and 7,712.80

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Solution

The fourth proportional to 14,392.87, 21,571.16 and 7,712.80 is: 11,559.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,392.87 : 21,571.16 = 7,712.80 : x
  2. Step 2: Convert to fraction form
    14,392.87/21,571.16 = 7,712.80/x
  3. Step 3: Cross multiply
    14,392.87x = 21,571.16 × 7,712.80
  4. Step 4: Simplify right side
    14,392.87x = 166,374,042.85
  5. Step 5: Solve for x
    x = 166,374,042.85/14,392.87
  6. Step 6: Final answer
    x = 11,559.48

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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.