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Finding the Fourth Proportional to 20,201.46, 30,307.32 and 7,054.08

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Solution

The fourth proportional to 20,201.46, 30,307.32 and 7,054.08 is: 10,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,201.46 : 30,307.32 = 7,054.08 : x
  2. Step 2: Convert to fraction form
    20,201.46/30,307.32 = 7,054.08/x
  3. Step 3: Cross multiply
    20,201.46x = 30,307.32 × 7,054.08
  4. Step 4: Simplify right side
    20,201.46x = 213,790,259.87
  5. Step 5: Solve for x
    x = 213,790,259.87/20,201.46
  6. Step 6: Final answer
    x = 10,582.91

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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.