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Finding the Fourth Proportional to 13,234.64, 19,847.07 and 5,444.06

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Solution

The fourth proportional to 13,234.64, 19,847.07 and 5,444.06 is: 8,164.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,234.64 : 19,847.07 = 5,444.06 : x
  2. Step 2: Convert to fraction form
    13,234.64/19,847.07 = 5,444.06/x
  3. Step 3: Cross multiply
    13,234.64x = 19,847.07 × 5,444.06
  4. Step 4: Simplify right side
    13,234.64x = 108,048,540.67
  5. Step 5: Solve for x
    x = 108,048,540.67/13,234.64
  6. Step 6: Final answer
    x = 8,164.07

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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.