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Finding the Fourth Proportional to 11,964.60, 16,499.16 and 10,170

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Solution

The fourth proportional to 11,964.60, 16,499.16 and 10,170 is: 14,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,964.60 : 16,499.16 = 10,170 : x
  2. Step 2: Convert to fraction form
    11,964.60/16,499.16 = 10,170/x
  3. Step 3: Cross multiply
    11,964.60x = 16,499.16 × 10,170
  4. Step 4: Simplify right side
    11,964.60x = 167,796,457.20
  5. Step 5: Solve for x
    x = 167,796,457.20/11,964.60
  6. Step 6: Final answer
    x = 14,024.41

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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.