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Finding the Fourth Proportional to 14,174.53, 19,563.25 and 8,209.83

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Solution

The fourth proportional to 14,174.53, 19,563.25 and 8,209.83 is: 11,330.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,174.53 : 19,563.25 = 8,209.83 : x
  2. Step 2: Convert to fraction form
    14,174.53/19,563.25 = 8,209.83/x
  3. Step 3: Cross multiply
    14,174.53x = 19,563.25 × 8,209.83
  4. Step 4: Simplify right side
    14,174.53x = 160,610,956.75
  5. Step 5: Solve for x
    x = 160,610,956.75/14,174.53
  6. Step 6: Final answer
    x = 11,330.95

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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.