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Finding the Fourth Proportional to 22,205.40, 33,303.78 and 6,409.32

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Solution

The fourth proportional to 22,205.40, 33,303.78 and 6,409.32 is: 9,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,205.40 : 33,303.78 = 6,409.32 : x
  2. Step 2: Convert to fraction form
    22,205.40/33,303.78 = 6,409.32/x
  3. Step 3: Cross multiply
    22,205.40x = 33,303.78 × 6,409.32
  4. Step 4: Simplify right side
    22,205.40x = 213,454,583.23
  5. Step 5: Solve for x
    x = 213,454,583.23/22,205.40
  6. Step 6: Final answer
    x = 9,612.73

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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.