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Finding the Fourth Proportional to 12,648.14, 17,456.19 and 7,059.50

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Solution

The fourth proportional to 12,648.14, 17,456.19 and 7,059.50 is: 9,743.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,648.14 : 17,456.19 = 7,059.50 : x
  2. Step 2: Convert to fraction form
    12,648.14/17,456.19 = 7,059.50/x
  3. Step 3: Cross multiply
    12,648.14x = 17,456.19 × 7,059.50
  4. Step 4: Simplify right side
    12,648.14x = 123,231,973.31
  5. Step 5: Solve for x
    x = 123,231,973.31/12,648.14
  6. Step 6: Final answer
    x = 9,743.09

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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.