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Finding the Fourth Proportional to 21,786.12, 32,684.10 and 7,935

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Solution

The fourth proportional to 21,786.12, 32,684.10 and 7,935 is: 11,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,786.12 : 32,684.10 = 7,935 : x
  2. Step 2: Convert to fraction form
    21,786.12/32,684.10 = 7,935/x
  3. Step 3: Cross multiply
    21,786.12x = 32,684.10 × 7,935
  4. Step 4: Simplify right side
    21,786.12x = 259,348,333.50
  5. Step 5: Solve for x
    x = 259,348,333.50/21,786.12
  6. Step 6: Final answer
    x = 11,904.29

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