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Finding the Fourth Proportional to 13,716.60, 20,571.54 and 9,593.40

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Solution

The fourth proportional to 13,716.60, 20,571.54 and 9,593.40 is: 14,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,716.60 : 20,571.54 = 9,593.40 : x
  2. Step 2: Convert to fraction form
    13,716.60/20,571.54 = 9,593.40/x
  3. Step 3: Cross multiply
    13,716.60x = 20,571.54 × 9,593.40
  4. Step 4: Simplify right side
    13,716.60x = 197,351,011.84
  5. Step 5: Solve for x
    x = 197,351,011.84/13,716.60
  6. Step 6: Final answer
    x = 14,387.75

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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.