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Finding the Fourth Proportional to 14,186.72, 21,260.94 and 5,416.85

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Solution

The fourth proportional to 14,186.72, 21,260.94 and 5,416.85 is: 8,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,186.72 : 21,260.94 = 5,416.85 : x
  2. Step 2: Convert to fraction form
    14,186.72/21,260.94 = 5,416.85/x
  3. Step 3: Cross multiply
    14,186.72x = 21,260.94 × 5,416.85
  4. Step 4: Simplify right side
    14,186.72x = 115,167,396.30
  5. Step 5: Solve for x
    x = 115,167,396.30/14,186.72
  6. Step 6: Final answer
    x = 8,117.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.