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Finding the Fourth Proportional to 16,963.14, 23,409.14 and 9,409.22

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Solution

The fourth proportional to 16,963.14, 23,409.14 and 9,409.22 is: 12,984.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.14 : 23,409.14 = 9,409.22 : x
  2. Step 2: Convert to fraction form
    16,963.14/23,409.14 = 9,409.22/x
  3. Step 3: Cross multiply
    16,963.14x = 23,409.14 × 9,409.22
  4. Step 4: Simplify right side
    16,963.14x = 220,261,584.18
  5. Step 5: Solve for x
    x = 220,261,584.18/16,963.14
  6. Step 6: Final answer
    x = 12,984.72

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1.5x scale

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.