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Finding the Fourth Proportional to 21,911.50, 32,850.85 and 7,111.59

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Solution

The fourth proportional to 21,911.50, 32,850.85 and 7,111.59 is: 10,662.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,911.50 : 32,850.85 = 7,111.59 : x
  2. Step 2: Convert to fraction form
    21,911.50/32,850.85 = 7,111.59/x
  3. Step 3: Cross multiply
    21,911.50x = 32,850.85 × 7,111.59
  4. Step 4: Simplify right side
    21,911.50x = 233,621,776.35
  5. Step 5: Solve for x
    x = 233,621,776.35/21,911.50
  6. Step 6: Final answer
    x = 10,662.06

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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.