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Finding the Fourth Proportional to 14,896.22, 20,554.49 and 8,607.38

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Solution

The fourth proportional to 14,896.22, 20,554.49 and 8,607.38 is: 11,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.22 : 20,554.49 = 8,607.38 : x
  2. Step 2: Convert to fraction form
    14,896.22/20,554.49 = 8,607.38/x
  3. Step 3: Cross multiply
    14,896.22x = 20,554.49 × 8,607.38
  4. Step 4: Simplify right side
    14,896.22x = 176,920,224.88
  5. Step 5: Solve for x
    x = 176,920,224.88/14,896.22
  6. Step 6: Final answer
    x = 11,876.86

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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.