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Finding the Fourth Proportional to 21,358.10, 32,033.85 and 7,314.90

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Solution

The fourth proportional to 21,358.10, 32,033.85 and 7,314.90 is: 10,971.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,358.10 : 32,033.85 = 7,314.90 : x
  2. Step 2: Convert to fraction form
    21,358.10/32,033.85 = 7,314.90/x
  3. Step 3: Cross multiply
    21,358.10x = 32,033.85 × 7,314.90
  4. Step 4: Simplify right side
    21,358.10x = 234,324,409.37
  5. Step 5: Solve for x
    x = 234,324,409.37/21,358.10
  6. Step 6: Final answer
    x = 10,971.22

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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.