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Finding the Fourth Proportional to 13,816.64, 20,718.87 and 3,953.68

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Solution

The fourth proportional to 13,816.64, 20,718.87 and 3,953.68 is: 5,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,816.64 : 20,718.87 = 3,953.68 : x
  2. Step 2: Convert to fraction form
    13,816.64/20,718.87 = 3,953.68/x
  3. Step 3: Cross multiply
    13,816.64x = 20,718.87 × 3,953.68
  4. Step 4: Simplify right side
    13,816.64x = 81,915,678.35
  5. Step 5: Solve for x
    x = 81,915,678.35/13,816.64
  6. Step 6: Final answer
    x = 5,928.77

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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.