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Finding the Fourth Proportional to 14,896.14, 20,557.19 and 8,182.38

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Solution

The fourth proportional to 14,896.14, 20,557.19 and 8,182.38 is: 11,291.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,896.14 : 20,557.19 = 8,182.38 : x
  2. Step 2: Convert to fraction form
    14,896.14/20,557.19 = 8,182.38/x
  3. Step 3: Cross multiply
    14,896.14x = 20,557.19 × 8,182.38
  4. Step 4: Simplify right side
    14,896.14x = 168,206,837.86
  5. Step 5: Solve for x
    x = 168,206,837.86/14,896.14
  6. Step 6: Final answer
    x = 11,291.98

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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.