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Finding the Fourth Proportional to 14,157.96, 21,234.18 and 13,455.50

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Solution

The fourth proportional to 14,157.96, 21,234.18 and 13,455.50 is: 20,180.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.96 : 21,234.18 = 13,455.50 : x
  2. Step 2: Convert to fraction form
    14,157.96/21,234.18 = 13,455.50/x
  3. Step 3: Cross multiply
    14,157.96x = 21,234.18 × 13,455.50
  4. Step 4: Simplify right side
    14,157.96x = 285,716,508.99
  5. Step 5: Solve for x
    x = 285,716,508.99/14,157.96
  6. Step 6: Final answer
    x = 20,180.63

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Why These Related Problems?

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