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Finding the Fourth Proportional to 14,311.35, 19,749.87 and 8,023.77

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Solution

The fourth proportional to 14,311.35, 19,749.87 and 8,023.77 is: 11,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,311.35 : 19,749.87 = 8,023.77 : x
  2. Step 2: Convert to fraction form
    14,311.35/19,749.87 = 8,023.77/x
  3. Step 3: Cross multiply
    14,311.35x = 19,749.87 × 8,023.77
  4. Step 4: Simplify right side
    14,311.35x = 158,468,414.41
  5. Step 5: Solve for x
    x = 158,468,414.41/14,311.35
  6. Step 6: Final answer
    x = 11,072.92

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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.