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Finding the Fourth Proportional to 19,615.14, 29,443.77 and 7,936.02

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Solution

The fourth proportional to 19,615.14, 29,443.77 and 7,936.02 is: 11,912.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,615.14 : 29,443.77 = 7,936.02 : x
  2. Step 2: Convert to fraction form
    19,615.14/29,443.77 = 7,936.02/x
  3. Step 3: Cross multiply
    19,615.14x = 29,443.77 × 7,936.02
  4. Step 4: Simplify right side
    19,615.14x = 233,666,347.60
  5. Step 5: Solve for x
    x = 233,666,347.60/19,615.14
  6. Step 6: Final answer
    x = 11,912.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.