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Finding the Fourth Proportional to 14,709.83, 22,074.12 and 5,348.96

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Solution

The fourth proportional to 14,709.83, 22,074.12 and 5,348.96 is: 8,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.83 : 22,074.12 = 5,348.96 : x
  2. Step 2: Convert to fraction form
    14,709.83/22,074.12 = 5,348.96/x
  3. Step 3: Cross multiply
    14,709.83x = 22,074.12 × 5,348.96
  4. Step 4: Simplify right side
    14,709.83x = 118,073,474.54
  5. Step 5: Solve for x
    x = 118,073,474.54/14,709.83
  6. Step 6: Final answer
    x = 8,026.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.