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Finding the Fourth Proportional to 13,222.74, 18,247.22 and 7,254.47

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Solution

The fourth proportional to 13,222.74, 18,247.22 and 7,254.47 is: 10,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,222.74 : 18,247.22 = 7,254.47 : x
  2. Step 2: Convert to fraction form
    13,222.74/18,247.22 = 7,254.47/x
  3. Step 3: Cross multiply
    13,222.74x = 18,247.22 × 7,254.47
  4. Step 4: Simplify right side
    13,222.74x = 132,373,836.97
  5. Step 5: Solve for x
    x = 132,373,836.97/13,222.74
  6. Step 6: Final answer
    x = 10,011.07

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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.