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Finding the Fourth Proportional to 16,455.94, 22,709.30 and 10,082.54

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Solution

The fourth proportional to 16,455.94, 22,709.30 and 10,082.54 is: 13,913.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,455.94 : 22,709.30 = 10,082.54 : x
  2. Step 2: Convert to fraction form
    16,455.94/22,709.30 = 10,082.54/x
  3. Step 3: Cross multiply
    16,455.94x = 22,709.30 × 10,082.54
  4. Step 4: Simplify right side
    16,455.94x = 228,967,400.42
  5. Step 5: Solve for x
    x = 228,967,400.42/16,455.94
  6. Step 6: Final answer
    x = 13,913.97

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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.