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Finding the Fourth Proportional to 14,813.82, 20,442.93 and 8,099.38

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Solution

The fourth proportional to 14,813.82, 20,442.93 and 8,099.38 is: 11,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.82 : 20,442.93 = 8,099.38 : x
  2. Step 2: Convert to fraction form
    14,813.82/20,442.93 = 8,099.38/x
  3. Step 3: Cross multiply
    14,813.82x = 20,442.93 × 8,099.38
  4. Step 4: Simplify right side
    14,813.82x = 165,574,984.13
  5. Step 5: Solve for x
    x = 165,574,984.13/14,813.82
  6. Step 6: Final answer
    x = 11,177.06

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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.