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Finding the Fourth Proportional to 16,427.38, 22,672.56 and 9,352.84

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Solution

The fourth proportional to 16,427.38, 22,672.56 and 9,352.84 is: 12,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,427.38 : 22,672.56 = 9,352.84 : x
  2. Step 2: Convert to fraction form
    16,427.38/22,672.56 = 9,352.84/x
  3. Step 3: Cross multiply
    16,427.38x = 22,672.56 × 9,352.84
  4. Step 4: Simplify right side
    16,427.38x = 212,052,826.07
  5. Step 5: Solve for x
    x = 212,052,826.07/16,427.38
  6. Step 6: Final answer
    x = 12,908.50

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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.