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Finding the Fourth Proportional to 21,902.96, 30,226.08 and 12,471.50

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Solution

The fourth proportional to 21,902.96, 30,226.08 and 12,471.50 is: 17,210.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.96 : 30,226.08 = 12,471.50 : x
  2. Step 2: Convert to fraction form
    21,902.96/30,226.08 = 12,471.50/x
  3. Step 3: Cross multiply
    21,902.96x = 30,226.08 × 12,471.50
  4. Step 4: Simplify right side
    21,902.96x = 376,964,556.72
  5. Step 5: Solve for x
    x = 376,964,556.72/21,902.96
  6. Step 6: Final answer
    x = 17,210.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.