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Finding the Fourth Proportional to 14,215.78, 19,618.74 and 8,247.44

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Solution

The fourth proportional to 14,215.78, 19,618.74 and 8,247.44 is: 11,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,215.78 : 19,618.74 = 8,247.44 : x
  2. Step 2: Convert to fraction form
    14,215.78/19,618.74 = 8,247.44/x
  3. Step 3: Cross multiply
    14,215.78x = 19,618.74 × 8,247.44
  4. Step 4: Simplify right side
    14,215.78x = 161,804,381.03
  5. Step 5: Solve for x
    x = 161,804,381.03/14,215.78
  6. Step 6: Final answer
    x = 11,382.03

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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.