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Finding the Fourth Proportional to 13,746.96, 20,620.44 and 7,899.84

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Solution

The fourth proportional to 13,746.96, 20,620.44 and 7,899.84 is: 11,849.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.96 : 20,620.44 = 7,899.84 : x
  2. Step 2: Convert to fraction form
    13,746.96/20,620.44 = 7,899.84/x
  3. Step 3: Cross multiply
    13,746.96x = 20,620.44 × 7,899.84
  4. Step 4: Simplify right side
    13,746.96x = 162,898,176.73
  5. Step 5: Solve for x
    x = 162,898,176.73/13,746.96
  6. Step 6: Final answer
    x = 11,849.76

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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.