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Finding the Fourth Proportional to 21,996, 32,994 and 9,684

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Solution

The fourth proportional to 21,996, 32,994 and 9,684 is: 14,526

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,996 : 32,994 = 9,684 : x
  2. Step 2: Convert to fraction form
    21,996/32,994 = 9,684/x
  3. Step 3: Cross multiply
    21,996x = 32,994 × 9,684
  4. Step 4: Simplify right side
    21,996x = 319,513,896
  5. Step 5: Solve for x
    x = 319,513,896/21,996
  6. Step 6: Final answer
    x = 14,526

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.