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Finding the Fourth Proportional to 17,206.28, 25,810.62 and 6,818

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Solution

The fourth proportional to 17,206.28, 25,810.62 and 6,818 is: 10,227.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,206.28 : 25,810.62 = 6,818 : x
  2. Step 2: Convert to fraction form
    17,206.28/25,810.62 = 6,818/x
  3. Step 3: Cross multiply
    17,206.28x = 25,810.62 × 6,818
  4. Step 4: Simplify right side
    17,206.28x = 175,976,807.16
  5. Step 5: Solve for x
    x = 175,976,807.16/17,206.28
  6. Step 6: Final answer
    x = 10,227.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.