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Finding the Fourth Proportional to 14,662.10, 20,233.19 and 8,690.24

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Solution

The fourth proportional to 14,662.10, 20,233.19 and 8,690.24 is: 11,992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,662.10 : 20,233.19 = 8,690.24 : x
  2. Step 2: Convert to fraction form
    14,662.10/20,233.19 = 8,690.24/x
  3. Step 3: Cross multiply
    14,662.10x = 20,233.19 × 8,690.24
  4. Step 4: Simplify right side
    14,662.10x = 175,831,349.37
  5. Step 5: Solve for x
    x = 175,831,349.37/14,662.10
  6. Step 6: Final answer
    x = 11,992.23

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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.