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Finding the Fourth Proportional to 12,648, 17,454.24 and 7,059

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Solution

The fourth proportional to 12,648, 17,454.24 and 7,059 is: 9,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648 : 17,454.24 = 7,059 : x
  2. Step 2: Convert to fraction form
    12,648/17,454.24 = 7,059/x
  3. Step 3: Cross multiply
    12,648x = 17,454.24 × 7,059
  4. Step 4: Simplify right side
    12,648x = 123,209,480.16
  5. Step 5: Solve for x
    x = 123,209,480.16/12,648
  6. Step 6: Final answer
    x = 9,741.42

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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.