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Finding the Fourth Proportional to 20,199.77, 30,313.50 and 7,052.14

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Solution

The fourth proportional to 20,199.77, 30,313.50 and 7,052.14 is: 10,583.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,199.77 : 30,313.50 = 7,052.14 : x
  2. Step 2: Convert to fraction form
    20,199.77/30,313.50 = 7,052.14/x
  3. Step 3: Cross multiply
    20,199.77x = 30,313.50 × 7,052.14
  4. Step 4: Simplify right side
    20,199.77x = 213,775,045.89
  5. Step 5: Solve for x
    x = 213,775,045.89/20,199.77
  6. Step 6: Final answer
    x = 10,583.04

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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.