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Finding the Fourth Proportional to 16,727.70, 23,084.70 and 9,654.50

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Solution

The fourth proportional to 16,727.70, 23,084.70 and 9,654.50 is: 13,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,727.70 : 23,084.70 = 9,654.50 : x
  2. Step 2: Convert to fraction form
    16,727.70/23,084.70 = 9,654.50/x
  3. Step 3: Cross multiply
    16,727.70x = 23,084.70 × 9,654.50
  4. Step 4: Simplify right side
    16,727.70x = 222,871,236.15
  5. Step 5: Solve for x
    x = 222,871,236.15/16,727.70
  6. Step 6: Final answer
    x = 13,323.48

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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.