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Finding the Fourth Proportional to 21,684.84, 32,522.94 and 9,996.36

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Solution

The fourth proportional to 21,684.84, 32,522.94 and 9,996.36 is: 14,992.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.84 : 32,522.94 = 9,996.36 : x
  2. Step 2: Convert to fraction form
    21,684.84/32,522.94 = 9,996.36/x
  3. Step 3: Cross multiply
    21,684.84x = 32,522.94 × 9,996.36
  4. Step 4: Simplify right side
    21,684.84x = 325,111,016.50
  5. Step 5: Solve for x
    x = 325,111,016.50/21,684.84
  6. Step 6: Final answer
    x = 14,992.55

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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.