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Finding the Fourth Proportional to 16,314.49, 22,517.23 and 10,650.16

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Solution

The fourth proportional to 16,314.49, 22,517.23 and 10,650.16 is: 14,699.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.49 : 22,517.23 = 10,650.16 : x
  2. Step 2: Convert to fraction form
    16,314.49/22,517.23 = 10,650.16/x
  3. Step 3: Cross multiply
    16,314.49x = 22,517.23 × 10,650.16
  4. Step 4: Simplify right side
    16,314.49x = 239,811,989.67
  5. Step 5: Solve for x
    x = 239,811,989.67/16,314.49
  6. Step 6: Final answer
    x = 14,699.33

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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.