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Finding the Fourth Proportional to 20,140.84, 30,219.90 and 11,362.60

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Solution

The fourth proportional to 20,140.84, 30,219.90 and 11,362.60 is: 17,048.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,140.84 : 30,219.90 = 11,362.60 : x
  2. Step 2: Convert to fraction form
    20,140.84/30,219.90 = 11,362.60/x
  3. Step 3: Cross multiply
    20,140.84x = 30,219.90 × 11,362.60
  4. Step 4: Simplify right side
    20,140.84x = 343,376,635.74
  5. Step 5: Solve for x
    x = 343,376,635.74/20,140.84
  6. Step 6: Final answer
    x = 17,048.77

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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.