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Finding the Fourth Proportional to 13,225.42, 18,251.50 and 7,257.48

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Solution

The fourth proportional to 13,225.42, 18,251.50 and 7,257.48 is: 10,015.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.42 : 18,251.50 = 7,257.48 : x
  2. Step 2: Convert to fraction form
    13,225.42/18,251.50 = 7,257.48/x
  3. Step 3: Cross multiply
    13,225.42x = 18,251.50 × 7,257.48
  4. Step 4: Simplify right side
    13,225.42x = 132,459,896.22
  5. Step 5: Solve for x
    x = 132,459,896.22/13,225.42
  6. Step 6: Final answer
    x = 10,015.55

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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.