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Finding the Fourth Proportional to 14,813.16, 20,442.54 and 8,099.07

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Solution

The fourth proportional to 14,813.16, 20,442.54 and 8,099.07 is: 11,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,813.16 : 20,442.54 = 8,099.07 : x
  2. Step 2: Convert to fraction form
    14,813.16/20,442.54 = 8,099.07/x
  3. Step 3: Cross multiply
    14,813.16x = 20,442.54 × 8,099.07
  4. Step 4: Simplify right side
    14,813.16x = 165,565,562.44
  5. Step 5: Solve for x
    x = 165,565,562.44/14,813.16
  6. Step 6: Final answer
    x = 11,176.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.