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Finding the Fourth Proportional to 16,833, 23,232.24 and 13,239.84

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Solution

The fourth proportional to 16,833, 23,232.24 and 13,239.84 is: 18,273.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,833 : 23,232.24 = 13,239.84 : x
  2. Step 2: Convert to fraction form
    16,833/23,232.24 = 13,239.84/x
  3. Step 3: Cross multiply
    16,833x = 23,232.24 × 13,239.84
  4. Step 4: Simplify right side
    16,833x = 307,591,140.44
  5. Step 5: Solve for x
    x = 307,591,140.44/16,833
  6. Step 6: Final answer
    x = 18,273.10

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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.