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Finding the Fourth Proportional to 14,807.69, 20,434.57 and 8,093.32

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Solution

The fourth proportional to 14,807.69, 20,434.57 and 8,093.32 is: 11,168.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.69 : 20,434.57 = 8,093.32 : x
  2. Step 2: Convert to fraction form
    14,807.69/20,434.57 = 8,093.32/x
  3. Step 3: Cross multiply
    14,807.69x = 20,434.57 × 8,093.32
  4. Step 4: Simplify right side
    14,807.69x = 165,383,442.75
  5. Step 5: Solve for x
    x = 165,383,442.75/14,807.69
  6. Step 6: Final answer
    x = 11,168.76

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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.