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Finding the Fourth Proportional to 16,963.21, 23,409.98 and 9,409.04

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Solution

The fourth proportional to 16,963.21, 23,409.98 and 9,409.04 is: 12,984.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,963.21 : 23,409.98 = 9,409.04 : x
  2. Step 2: Convert to fraction form
    16,963.21/23,409.98 = 9,409.04/x
  3. Step 3: Cross multiply
    16,963.21x = 23,409.98 × 9,409.04
  4. Step 4: Simplify right side
    16,963.21x = 220,265,438.22
  5. Step 5: Solve for x
    x = 220,265,438.22/16,963.21
  6. Step 6: Final answer
    x = 12,984.89

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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.