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Finding the Fourth Proportional to 13,848.94, 20,761 and 5,081.82

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Solution

The fourth proportional to 13,848.94, 20,761 and 5,081.82 is: 7,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848.94 : 20,761 = 5,081.82 : x
  2. Step 2: Convert to fraction form
    13,848.94/20,761 = 5,081.82/x
  3. Step 3: Cross multiply
    13,848.94x = 20,761 × 5,081.82
  4. Step 4: Simplify right side
    13,848.94x = 105,503,665.02
  5. Step 5: Solve for x
    x = 105,503,665.02/13,848.94
  6. Step 6: Final answer
    x = 7,618.18

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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.