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Finding the Fourth Proportional to 12,648.12, 17,453.70 and 7,059.48

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Solution

The fourth proportional to 12,648.12, 17,453.70 and 7,059.48 is: 9,741.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.12 : 17,453.70 = 7,059.48 : x
  2. Step 2: Convert to fraction form
    12,648.12/17,453.70 = 7,059.48/x
  3. Step 3: Cross multiply
    12,648.12x = 17,453.70 × 7,059.48
  4. Step 4: Simplify right side
    12,648.12x = 123,214,046.08
  5. Step 5: Solve for x
    x = 123,214,046.08/12,648.12
  6. Step 6: Final answer
    x = 9,741.69

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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.