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Finding the Fourth Proportional to 13,986, 19,300.74 and 7,698.48

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Solution

The fourth proportional to 13,986, 19,300.74 and 7,698.48 is: 10,623.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986 : 19,300.74 = 7,698.48 : x
  2. Step 2: Convert to fraction form
    13,986/19,300.74 = 7,698.48/x
  3. Step 3: Cross multiply
    13,986x = 19,300.74 × 7,698.48
  4. Step 4: Simplify right side
    13,986x = 148,586,360.88
  5. Step 5: Solve for x
    x = 148,586,360.88/13,986
  6. Step 6: Final answer
    x = 10,623.94

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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.