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Finding the Fourth Proportional to 16,707.56, 23,056.44 and 9,255.56

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Solution

The fourth proportional to 16,707.56, 23,056.44 and 9,255.56 is: 12,772.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,707.56 : 23,056.44 = 9,255.56 : x
  2. Step 2: Convert to fraction form
    16,707.56/23,056.44 = 9,255.56/x
  3. Step 3: Cross multiply
    16,707.56x = 23,056.44 × 9,255.56
  4. Step 4: Simplify right side
    16,707.56x = 213,400,321.45
  5. Step 5: Solve for x
    x = 213,400,321.45/16,707.56
  6. Step 6: Final answer
    x = 12,772.68

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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.