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Finding the Fourth Proportional to 14,813.10, 20,442.38 and 8,099.15

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Solution

The fourth proportional to 14,813.10, 20,442.38 and 8,099.15 is: 11,176.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.10 : 20,442.38 = 8,099.15 : x
  2. Step 2: Convert to fraction form
    14,813.10/20,442.38 = 8,099.15/x
  3. Step 3: Cross multiply
    14,813.10x = 20,442.38 × 8,099.15
  4. Step 4: Simplify right side
    14,813.10x = 165,565,759.27
  5. Step 5: Solve for x
    x = 165,565,759.27/14,813.10
  6. Step 6: Final answer
    x = 11,176.98

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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.