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Finding the Fourth Proportional to 17,895.75, 26,846.76 and 6,803.40

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Solution

The fourth proportional to 17,895.75, 26,846.76 and 6,803.40 is: 10,206.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,895.75 : 26,846.76 = 6,803.40 : x
  2. Step 2: Convert to fraction form
    17,895.75/26,846.76 = 6,803.40/x
  3. Step 3: Cross multiply
    17,895.75x = 26,846.76 × 6,803.40
  4. Step 4: Simplify right side
    17,895.75x = 182,649,246.98
  5. Step 5: Solve for x
    x = 182,649,246.98/17,895.75
  6. Step 6: Final answer
    x = 10,206.29

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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.