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Finding the Fourth Proportional to 12,938.58, 17,855.97 and 9,789.30

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Solution

The fourth proportional to 12,938.58, 17,855.97 and 9,789.30 is: 13,509.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.58 : 17,855.97 = 9,789.30 : x
  2. Step 2: Convert to fraction form
    12,938.58/17,855.97 = 9,789.30/x
  3. Step 3: Cross multiply
    12,938.58x = 17,855.97 × 9,789.30
  4. Step 4: Simplify right side
    12,938.58x = 174,797,447.12
  5. Step 5: Solve for x
    x = 174,797,447.12/12,938.58
  6. Step 6: Final answer
    x = 13,509.79

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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.