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Finding the Fourth Proportional to 20,257.30, 30,390.84 and 7,607.16

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Solution

The fourth proportional to 20,257.30, 30,390.84 and 7,607.16 is: 11,412.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,257.30 : 30,390.84 = 7,607.16 : x
  2. Step 2: Convert to fraction form
    20,257.30/30,390.84 = 7,607.16/x
  3. Step 3: Cross multiply
    20,257.30x = 30,390.84 × 7,607.16
  4. Step 4: Simplify right side
    20,257.30x = 231,187,982.41
  5. Step 5: Solve for x
    x = 231,187,982.41/20,257.30
  6. Step 6: Final answer
    x = 11,412.58

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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.