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Finding the Fourth Proportional to 12,927.67, 17,840.17 and 7,338.67

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Solution

The fourth proportional to 12,927.67, 17,840.17 and 7,338.67 is: 10,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,927.67 : 17,840.17 = 7,338.67 : x
  2. Step 2: Convert to fraction form
    12,927.67/17,840.17 = 7,338.67/x
  3. Step 3: Cross multiply
    12,927.67x = 17,840.17 × 7,338.67
  4. Step 4: Simplify right side
    12,927.67x = 130,923,084.95
  5. Step 5: Solve for x
    x = 130,923,084.95/12,927.67
  6. Step 6: Final answer
    x = 10,127.36

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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.