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Finding the Fourth Proportional to 13,873.81, 20,812.70 and 4,510.82

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Solution

The fourth proportional to 13,873.81, 20,812.70 and 4,510.82 is: 6,766.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,873.81 : 20,812.70 = 4,510.82 : x
  2. Step 2: Convert to fraction form
    13,873.81/20,812.70 = 4,510.82/x
  3. Step 3: Cross multiply
    13,873.81x = 20,812.70 × 4,510.82
  4. Step 4: Simplify right side
    13,873.81x = 93,882,343.41
  5. Step 5: Solve for x
    x = 93,882,343.41/13,873.81
  6. Step 6: Final answer
    x = 6,766.88

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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.