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Finding the Fourth Proportional to 13,816.68, 20,721.02 and 3,953.31

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Solution

The fourth proportional to 13,816.68, 20,721.02 and 3,953.31 is: 5,928.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.68 : 20,721.02 = 3,953.31 : x
  2. Step 2: Convert to fraction form
    13,816.68/20,721.02 = 3,953.31/x
  3. Step 3: Cross multiply
    13,816.68x = 20,721.02 × 3,953.31
  4. Step 4: Simplify right side
    13,816.68x = 81,916,518.11
  5. Step 5: Solve for x
    x = 81,916,518.11/13,816.68
  6. Step 6: Final answer
    x = 5,928.82

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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.