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Finding the Fourth Proportional to 16,586.57, 22,892.83 and 10,216.33

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Solution

The fourth proportional to 16,586.57, 22,892.83 and 10,216.33 is: 14,100.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.57 : 22,892.83 = 10,216.33 : x
  2. Step 2: Convert to fraction form
    16,586.57/22,892.83 = 10,216.33/x
  3. Step 3: Cross multiply
    16,586.57x = 22,892.83 × 10,216.33
  4. Step 4: Simplify right side
    16,586.57x = 233,880,623.14
  5. Step 5: Solve for x
    x = 233,880,623.14/16,586.57
  6. Step 6: Final answer
    x = 14,100.60

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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.