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Finding the Fourth Proportional to 13,810.62, 20,716.14 and 3,422.38

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Solution

The fourth proportional to 13,810.62, 20,716.14 and 3,422.38 is: 5,133.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,810.62 : 20,716.14 = 3,422.38 : x
  2. Step 2: Convert to fraction form
    13,810.62/20,716.14 = 3,422.38/x
  3. Step 3: Cross multiply
    13,810.62x = 20,716.14 × 3,422.38
  4. Step 4: Simplify right side
    13,810.62x = 70,898,503.21
  5. Step 5: Solve for x
    x = 70,898,503.21/13,810.62
  6. Step 6: Final answer
    x = 5,133.62

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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.