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Finding the Fourth Proportional to 16,759.44, 23,128.44 and 9,206.52

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Solution

The fourth proportional to 16,759.44, 23,128.44 and 9,206.52 is: 12,705.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,759.44 : 23,128.44 = 9,206.52 : x
  2. Step 2: Convert to fraction form
    16,759.44/23,128.44 = 9,206.52/x
  3. Step 3: Cross multiply
    16,759.44x = 23,128.44 × 9,206.52
  4. Step 4: Simplify right side
    16,759.44x = 212,932,445.43
  5. Step 5: Solve for x
    x = 212,932,445.43/16,759.44
  6. Step 6: Final answer
    x = 12,705.22

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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.