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Finding the Fourth Proportional to 23,832, 32,889.60 and 13,896

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Solution

The fourth proportional to 23,832, 32,889.60 and 13,896 is: 19,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,832 : 32,889.60 = 13,896 : x
  2. Step 2: Convert to fraction form
    23,832/32,889.60 = 13,896/x
  3. Step 3: Cross multiply
    23,832x = 32,889.60 × 13,896
  4. Step 4: Simplify right side
    23,832x = 457,033,881.60
  5. Step 5: Solve for x
    x = 457,033,881.60/23,832
  6. Step 6: Final answer
    x = 19,177.32

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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.