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Finding the Fourth Proportional to 12,647.54, 17,454.83 and 7,270.76

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Solution

The fourth proportional to 12,647.54, 17,454.83 and 7,270.76 is: 10,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.54 : 17,454.83 = 7,270.76 : x
  2. Step 2: Convert to fraction form
    12,647.54/17,454.83 = 7,270.76/x
  3. Step 3: Cross multiply
    12,647.54x = 17,454.83 × 7,270.76
  4. Step 4: Simplify right side
    12,647.54x = 126,909,756.14
  5. Step 5: Solve for x
    x = 126,909,756.14/12,647.54
  6. Step 6: Final answer
    x = 10,034.35

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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.