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Finding the Fourth Proportional to 16,405.92, 22,642.56 and 9,334.08

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Solution

The fourth proportional to 16,405.92, 22,642.56 and 9,334.08 is: 12,882.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.92 : 22,642.56 = 9,334.08 : x
  2. Step 2: Convert to fraction form
    16,405.92/22,642.56 = 9,334.08/x
  3. Step 3: Cross multiply
    16,405.92x = 22,642.56 × 9,334.08
  4. Step 4: Simplify right side
    16,405.92x = 211,347,466.44
  5. Step 5: Solve for x
    x = 211,347,466.44/16,405.92
  6. Step 6: Final answer
    x = 12,882.39

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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.