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Finding the Fourth Proportional to 16,722.68, 23,082.23 and 9,653.81

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Solution

The fourth proportional to 16,722.68, 23,082.23 and 9,653.81 is: 13,325.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,722.68 : 23,082.23 = 9,653.81 : x
  2. Step 2: Convert to fraction form
    16,722.68/23,082.23 = 9,653.81/x
  3. Step 3: Cross multiply
    16,722.68x = 23,082.23 × 9,653.81
  4. Step 4: Simplify right side
    16,722.68x = 222,831,371.52
  5. Step 5: Solve for x
    x = 222,831,371.52/16,722.68
  6. Step 6: Final answer
    x = 13,325.10

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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.