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Finding the Fourth Proportional to 16,975.50, 23,426.91 and 9,523.50

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Solution

The fourth proportional to 16,975.50, 23,426.91 and 9,523.50 is: 13,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,975.50 : 23,426.91 = 9,523.50 : x
  2. Step 2: Convert to fraction form
    16,975.50/23,426.91 = 9,523.50/x
  3. Step 3: Cross multiply
    16,975.50x = 23,426.91 × 9,523.50
  4. Step 4: Simplify right side
    16,975.50x = 223,106,177.39
  5. Step 5: Solve for x
    x = 223,106,177.39/16,975.50
  6. Step 6: Final answer
    x = 13,142.83

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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.