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Finding the Fourth Proportional to 11,847.94, 16,337.91 and 10,174.89

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Solution

The fourth proportional to 11,847.94, 16,337.91 and 10,174.89 is: 14,030.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.94 : 16,337.91 = 10,174.89 : x
  2. Step 2: Convert to fraction form
    11,847.94/16,337.91 = 10,174.89/x
  3. Step 3: Cross multiply
    11,847.94x = 16,337.91 × 10,174.89
  4. Step 4: Simplify right side
    11,847.94x = 166,236,437.08
  5. Step 5: Solve for x
    x = 166,236,437.08/11,847.94
  6. Step 6: Final answer
    x = 14,030.83

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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.