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Finding the Fourth Proportional to 17,206.80, 25,803.80 and 6,816.40

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Solution

The fourth proportional to 17,206.80, 25,803.80 and 6,816.40 is: 10,222.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.80 : 25,803.80 = 6,816.40 : x
  2. Step 2: Convert to fraction form
    17,206.80/25,803.80 = 6,816.40/x
  3. Step 3: Cross multiply
    17,206.80x = 25,803.80 × 6,816.40
  4. Step 4: Simplify right side
    17,206.80x = 175,889,022.32
  5. Step 5: Solve for x
    x = 175,889,022.32/17,206.80
  6. Step 6: Final answer
    x = 10,222.06

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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.