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Finding the Fourth Proportional to 22,405.80, 33,608.70 and 6,821.40

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Solution

The fourth proportional to 22,405.80, 33,608.70 and 6,821.40 is: 10,232.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.80 : 33,608.70 = 6,821.40 : x
  2. Step 2: Convert to fraction form
    22,405.80/33,608.70 = 6,821.40/x
  3. Step 3: Cross multiply
    22,405.80x = 33,608.70 × 6,821.40
  4. Step 4: Simplify right side
    22,405.80x = 229,258,386.18
  5. Step 5: Solve for x
    x = 229,258,386.18/22,405.80
  6. Step 6: Final answer
    x = 10,232.10

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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.