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Finding the Fourth Proportional to 20,083.41, 30,129.53 and 8,237.25

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Solution

The fourth proportional to 20,083.41, 30,129.53 and 8,237.25 is: 12,357.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,083.41 : 30,129.53 = 8,237.25 : x
  2. Step 2: Convert to fraction form
    20,083.41/30,129.53 = 8,237.25/x
  3. Step 3: Cross multiply
    20,083.41x = 30,129.53 × 8,237.25
  4. Step 4: Simplify right side
    20,083.41x = 248,184,429.81
  5. Step 5: Solve for x
    x = 248,184,429.81/20,083.41
  6. Step 6: Final answer
    x = 12,357.68

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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.