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Finding the Fourth Proportional to 22,563.16, 33,847.98 and 6,982

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Solution

The fourth proportional to 22,563.16, 33,847.98 and 6,982 is: 10,474.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,563.16 : 33,847.98 = 6,982 : x
  2. Step 2: Convert to fraction form
    22,563.16/33,847.98 = 6,982/x
  3. Step 3: Cross multiply
    22,563.16x = 33,847.98 × 6,982
  4. Step 4: Simplify right side
    22,563.16x = 236,326,596.36
  5. Step 5: Solve for x
    x = 236,326,596.36/22,563.16
  6. Step 6: Final answer
    x = 10,474.00

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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.