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Finding the Fourth Proportional to 16,661.70, 22,993.84 and 9,588.14

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Solution

The fourth proportional to 16,661.70, 22,993.84 and 9,588.14 is: 13,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,661.70 : 22,993.84 = 9,588.14 : x
  2. Step 2: Convert to fraction form
    16,661.70/22,993.84 = 9,588.14/x
  3. Step 3: Cross multiply
    16,661.70x = 22,993.84 × 9,588.14
  4. Step 4: Simplify right side
    16,661.70x = 220,468,157.06
  5. Step 5: Solve for x
    x = 220,468,157.06/16,661.70
  6. Step 6: Final answer
    x = 13,232.03

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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.