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Finding the Fourth Proportional to 20,048.10, 30,063.87 and 7,566

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Solution

The fourth proportional to 20,048.10, 30,063.87 and 7,566 is: 11,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,048.10 : 30,063.87 = 7,566 : x
  2. Step 2: Convert to fraction form
    20,048.10/30,063.87 = 7,566/x
  3. Step 3: Cross multiply
    20,048.10x = 30,063.87 × 7,566
  4. Step 4: Simplify right side
    20,048.10x = 227,463,240.42
  5. Step 5: Solve for x
    x = 227,463,240.42/20,048.10
  6. Step 6: Final answer
    x = 11,345.88

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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.