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Finding the Fourth Proportional to 23,850, 32,913 and 13,914

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Solution

The fourth proportional to 23,850, 32,913 and 13,914 is: 19,201.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,850 : 32,913 = 13,914 : x
  2. Step 2: Convert to fraction form
    23,850/32,913 = 13,914/x
  3. Step 3: Cross multiply
    23,850x = 32,913 × 13,914
  4. Step 4: Simplify right side
    23,850x = 457,951,482
  5. Step 5: Solve for x
    x = 457,951,482/23,850
  6. Step 6: Final answer
    x = 19,201.32

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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.