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Finding the Fourth Proportional to 14,071.38, 19,416.81 and 8,104.98

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Solution

The fourth proportional to 14,071.38, 19,416.81 and 8,104.98 is: 11,183.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.38 : 19,416.81 = 8,104.98 : x
  2. Step 2: Convert to fraction form
    14,071.38/19,416.81 = 8,104.98/x
  3. Step 3: Cross multiply
    14,071.38x = 19,416.81 × 8,104.98
  4. Step 4: Simplify right side
    14,071.38x = 157,372,905.26
  5. Step 5: Solve for x
    x = 157,372,905.26/14,071.38
  6. Step 6: Final answer
    x = 11,183.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.