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Finding the Fourth Proportional to 13,504.88, 20,252.28 and 4,738.16

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Solution

The fourth proportional to 13,504.88, 20,252.28 and 4,738.16 is: 7,105.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,504.88 : 20,252.28 = 4,738.16 : x
  2. Step 2: Convert to fraction form
    13,504.88/20,252.28 = 4,738.16/x
  3. Step 3: Cross multiply
    13,504.88x = 20,252.28 × 4,738.16
  4. Step 4: Simplify right side
    13,504.88x = 95,958,543.00
  5. Step 5: Solve for x
    x = 95,958,543.00/13,504.88
  6. Step 6: Final answer
    x = 7,105.47

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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.