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Finding the Fourth Proportional to 20,555.64, 30,838.32 and 10,694.16

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Solution

The fourth proportional to 20,555.64, 30,838.32 and 10,694.16 is: 16,043.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,555.64 : 30,838.32 = 10,694.16 : x
  2. Step 2: Convert to fraction form
    20,555.64/30,838.32 = 10,694.16/x
  3. Step 3: Cross multiply
    20,555.64x = 30,838.32 × 10,694.16
  4. Step 4: Simplify right side
    20,555.64x = 329,789,928.21
  5. Step 5: Solve for x
    x = 329,789,928.21/20,555.64
  6. Step 6: Final answer
    x = 16,043.77

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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.