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Finding the Fourth Proportional to 16,617.60, 22,933.02 and 9,546.24

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Solution

The fourth proportional to 16,617.60, 22,933.02 and 9,546.24 is: 13,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.60 : 22,933.02 = 9,546.24 : x
  2. Step 2: Convert to fraction form
    16,617.60/22,933.02 = 9,546.24/x
  3. Step 3: Cross multiply
    16,617.60x = 22,933.02 × 9,546.24
  4. Step 4: Simplify right side
    16,617.60x = 218,924,112.84
  5. Step 5: Solve for x
    x = 218,924,112.84/16,617.60
  6. Step 6: Final answer
    x = 13,174.23

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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.