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Finding the Fourth Proportional to 13,083.66, 19,623.33 and 3,847.50

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Solution

The fourth proportional to 13,083.66, 19,623.33 and 3,847.50 is: 5,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,083.66 : 19,623.33 = 3,847.50 : x
  2. Step 2: Convert to fraction form
    13,083.66/19,623.33 = 3,847.50/x
  3. Step 3: Cross multiply
    13,083.66x = 19,623.33 × 3,847.50
  4. Step 4: Simplify right side
    13,083.66x = 75,500,762.18
  5. Step 5: Solve for x
    x = 75,500,762.18/13,083.66
  6. Step 6: Final answer
    x = 5,770.61

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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.