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Finding the Fourth Proportional to 13,225.56, 18,251.36 and 7,257.80

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Solution

The fourth proportional to 13,225.56, 18,251.36 and 7,257.80 is: 10,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.56 : 18,251.36 = 7,257.80 : x
  2. Step 2: Convert to fraction form
    13,225.56/18,251.36 = 7,257.80/x
  3. Step 3: Cross multiply
    13,225.56x = 18,251.36 × 7,257.80
  4. Step 4: Simplify right side
    13,225.56x = 132,464,720.61
  5. Step 5: Solve for x
    x = 132,464,720.61/13,225.56
  6. Step 6: Final answer
    x = 10,015.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.