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Finding the Fourth Proportional to 20,228.58, 30,338.00 and 10,362.78

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Solution

The fourth proportional to 20,228.58, 30,338.00 and 10,362.78 is: 15,541.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228.58 : 30,338.00 = 10,362.78 : x
  2. Step 2: Convert to fraction form
    20,228.58/30,338.00 = 10,362.78/x
  3. Step 3: Cross multiply
    20,228.58x = 30,338.00 × 10,362.78
  4. Step 4: Simplify right side
    20,228.58x = 314,385,967.83
  5. Step 5: Solve for x
    x = 314,385,967.83/20,228.58
  6. Step 6: Final answer
    x = 15,541.67

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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.