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Finding the Fourth Proportional to 16,474.94, 22,733.72 and 9,400

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Solution

The fourth proportional to 16,474.94, 22,733.72 and 9,400 is: 12,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,474.94 : 22,733.72 = 9,400 : x
  2. Step 2: Convert to fraction form
    16,474.94/22,733.72 = 9,400/x
  3. Step 3: Cross multiply
    16,474.94x = 22,733.72 × 9,400
  4. Step 4: Simplify right side
    16,474.94x = 213,696,968
  5. Step 5: Solve for x
    x = 213,696,968/16,474.94
  6. Step 6: Final answer
    x = 12,971.03

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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.