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Finding the Fourth Proportional to 16,409.45, 22,642.61 and 9,238.32

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Solution

The fourth proportional to 16,409.45, 22,642.61 and 9,238.32 is: 12,747.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.45 : 22,642.61 = 9,238.32 : x
  2. Step 2: Convert to fraction form
    16,409.45/22,642.61 = 9,238.32/x
  3. Step 3: Cross multiply
    16,409.45x = 22,642.61 × 9,238.32
  4. Step 4: Simplify right side
    16,409.45x = 209,179,630.62
  5. Step 5: Solve for x
    x = 209,179,630.62/16,409.45
  6. Step 6: Final answer
    x = 12,747.51

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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.