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Finding the Fourth Proportional to 13,713.84, 20,571.46 and 4,353.14

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Solution

The fourth proportional to 13,713.84, 20,571.46 and 4,353.14 is: 6,529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,713.84 : 20,571.46 = 4,353.14 : x
  2. Step 2: Convert to fraction form
    13,713.84/20,571.46 = 4,353.14/x
  3. Step 3: Cross multiply
    13,713.84x = 20,571.46 × 4,353.14
  4. Step 4: Simplify right side
    13,713.84x = 89,550,445.38
  5. Step 5: Solve for x
    x = 89,550,445.38/13,713.84
  6. Step 6: Final answer
    x = 6,529.93

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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.