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Finding the Fourth Proportional to 13,810.87, 20,716.29 and 3,422.62

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Solution

The fourth proportional to 13,810.87, 20,716.29 and 3,422.62 is: 5,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.87 : 20,716.29 = 3,422.62 : x
  2. Step 2: Convert to fraction form
    13,810.87/20,716.29 = 3,422.62/x
  3. Step 3: Cross multiply
    13,810.87x = 20,716.29 × 3,422.62
  4. Step 4: Simplify right side
    13,810.87x = 70,903,867.79
  5. Step 5: Solve for x
    x = 70,903,867.79/13,810.87
  6. Step 6: Final answer
    x = 5,133.92

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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.