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Finding the Fourth Proportional to 13,754.34, 20,632.91 and 4,747.28

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Solution

The fourth proportional to 13,754.34, 20,632.91 and 4,747.28 is: 7,121.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,754.34 : 20,632.91 = 4,747.28 : x
  2. Step 2: Convert to fraction form
    13,754.34/20,632.91 = 4,747.28/x
  3. Step 3: Cross multiply
    13,754.34x = 20,632.91 × 4,747.28
  4. Step 4: Simplify right side
    13,754.34x = 97,950,303.12
  5. Step 5: Solve for x
    x = 97,950,303.12/13,754.34
  6. Step 6: Final answer
    x = 7,121.41

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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.