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Finding the Fourth Proportional to 16,147.94, 22,283.76 and 9,074.34

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Solution

The fourth proportional to 16,147.94, 22,283.76 and 9,074.34 is: 12,522.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,147.94 : 22,283.76 = 9,074.34 : x
  2. Step 2: Convert to fraction form
    16,147.94/22,283.76 = 9,074.34/x
  3. Step 3: Cross multiply
    16,147.94x = 22,283.76 × 9,074.34
  4. Step 4: Simplify right side
    16,147.94x = 202,210,414.72
  5. Step 5: Solve for x
    x = 202,210,414.72/16,147.94
  6. Step 6: Final answer
    x = 12,522.37

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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.