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Finding the Fourth Proportional to 14,373.67, 19,835.85 and 8,086

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Solution

The fourth proportional to 14,373.67, 19,835.85 and 8,086 is: 11,158.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,373.67 : 19,835.85 = 8,086 : x
  2. Step 2: Convert to fraction form
    14,373.67/19,835.85 = 8,086/x
  3. Step 3: Cross multiply
    14,373.67x = 19,835.85 × 8,086
  4. Step 4: Simplify right side
    14,373.67x = 160,392,683.10
  5. Step 5: Solve for x
    x = 160,392,683.10/14,373.67
  6. Step 6: Final answer
    x = 11,158.78

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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.