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Finding the Fourth Proportional to 38,186.46, 57,283.56 and 13,226.46

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Solution

The fourth proportional to 38,186.46, 57,283.56 and 13,226.46 is: 19,841.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,186.46 : 57,283.56 = 13,226.46 : x
  2. Step 2: Convert to fraction form
    38,186.46/57,283.56 = 13,226.46/x
  3. Step 3: Cross multiply
    38,186.46x = 57,283.56 × 13,226.46
  4. Step 4: Simplify right side
    38,186.46x = 757,658,715.00
  5. Step 5: Solve for x
    x = 757,658,715.00/38,186.46
  6. Step 6: Final answer
    x = 19,841.03

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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.