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Finding the Fourth Proportional to 14,390.54, 19,861.74 and 8,102.96

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Solution

The fourth proportional to 14,390.54, 19,861.74 and 8,102.96 is: 11,183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,390.54 : 19,861.74 = 8,102.96 : x
  2. Step 2: Convert to fraction form
    14,390.54/19,861.74 = 8,102.96/x
  3. Step 3: Cross multiply
    14,390.54x = 19,861.74 × 8,102.96
  4. Step 4: Simplify right side
    14,390.54x = 160,938,884.75
  5. Step 5: Solve for x
    x = 160,938,884.75/14,390.54
  6. Step 6: Final answer
    x = 11,183.66

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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.