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Finding the Fourth Proportional to 14,961.81, 20,647.35 and 8,247.90

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Solution

The fourth proportional to 14,961.81, 20,647.35 and 8,247.90 is: 11,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,961.81 : 20,647.35 = 8,247.90 : x
  2. Step 2: Convert to fraction form
    14,961.81/20,647.35 = 8,247.90/x
  3. Step 3: Cross multiply
    14,961.81x = 20,647.35 × 8,247.90
  4. Step 4: Simplify right side
    14,961.81x = 170,297,278.07
  5. Step 5: Solve for x
    x = 170,297,278.07/14,961.81
  6. Step 6: Final answer
    x = 11,382.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.