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Finding the Fourth Proportional to 13,780.84, 20,694.30 and 13,673.32

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Solution

The fourth proportional to 13,780.84, 20,694.30 and 13,673.32 is: 20,532.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.84 : 20,694.30 = 13,673.32 : x
  2. Step 2: Convert to fraction form
    13,780.84/20,694.30 = 13,673.32/x
  3. Step 3: Cross multiply
    13,780.84x = 20,694.30 × 13,673.32
  4. Step 4: Simplify right side
    13,780.84x = 282,959,786.08
  5. Step 5: Solve for x
    x = 282,959,786.08/13,780.84
  6. Step 6: Final answer
    x = 20,532.84

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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.