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Finding the Fourth Proportional to 13,647.84, 20,471.74 and 4,288.60

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Solution

The fourth proportional to 13,647.84, 20,471.74 and 4,288.60 is: 6,432.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.84 : 20,471.74 = 4,288.60 : x
  2. Step 2: Convert to fraction form
    13,647.84/20,471.74 = 4,288.60/x
  3. Step 3: Cross multiply
    13,647.84x = 20,471.74 × 4,288.60
  4. Step 4: Simplify right side
    13,647.84x = 87,795,104.16
  5. Step 5: Solve for x
    x = 87,795,104.16/13,647.84
  6. Step 6: Final answer
    x = 6,432.89

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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.