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Finding the Fourth Proportional to 20,050.12, 30,057.90 and 9,669.16

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Solution

The fourth proportional to 20,050.12, 30,057.90 and 9,669.16 is: 14,495.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050.12 : 30,057.90 = 9,669.16 : x
  2. Step 2: Convert to fraction form
    20,050.12/30,057.90 = 9,669.16/x
  3. Step 3: Cross multiply
    20,050.12x = 30,057.90 × 9,669.16
  4. Step 4: Simplify right side
    20,050.12x = 290,634,644.36
  5. Step 5: Solve for x
    x = 290,634,644.36/20,050.12
  6. Step 6: Final answer
    x = 14,495.41

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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.