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Finding the Fourth Proportional to 20,200.08, 30,313.06 and 9,806.16

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Solution

The fourth proportional to 20,200.08, 30,313.06 and 9,806.16 is: 14,715.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,200.08 : 30,313.06 = 9,806.16 : x
  2. Step 2: Convert to fraction form
    20,200.08/30,313.06 = 9,806.16/x
  3. Step 3: Cross multiply
    20,200.08x = 30,313.06 × 9,806.16
  4. Step 4: Simplify right side
    20,200.08x = 297,254,716.45
  5. Step 5: Solve for x
    x = 297,254,716.45/20,200.08
  6. Step 6: Final answer
    x = 14,715.52

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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.