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Finding the Fourth Proportional to 24,482.36, 33,787.24 and 13,728

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Solution

The fourth proportional to 24,482.36, 33,787.24 and 13,728 is: 18,945.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,482.36 : 33,787.24 = 13,728 : x
  2. Step 2: Convert to fraction form
    24,482.36/33,787.24 = 13,728/x
  3. Step 3: Cross multiply
    24,482.36x = 33,787.24 × 13,728
  4. Step 4: Simplify right side
    24,482.36x = 463,831,230.72
  5. Step 5: Solve for x
    x = 463,831,230.72/24,482.36
  6. Step 6: Final answer
    x = 18,945.53

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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.