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Finding the Fourth Proportional to 16,825, 23,219.22 and 9,373

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Solution

The fourth proportional to 16,825, 23,219.22 and 9,373 is: 12,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,825 : 23,219.22 = 9,373 : x
  2. Step 2: Convert to fraction form
    16,825/23,219.22 = 9,373/x
  3. Step 3: Cross multiply
    16,825x = 23,219.22 × 9,373
  4. Step 4: Simplify right side
    16,825x = 217,633,749.06
  5. Step 5: Solve for x
    x = 217,633,749.06/16,825
  6. Step 6: Final answer
    x = 12,935.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.