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Finding the Fourth Proportional to 12,604.80, 17,399.04 and 7,301.76

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Solution

The fourth proportional to 12,604.80, 17,399.04 and 7,301.76 is: 10,078.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,604.80 : 17,399.04 = 7,301.76 : x
  2. Step 2: Convert to fraction form
    12,604.80/17,399.04 = 7,301.76/x
  3. Step 3: Cross multiply
    12,604.80x = 17,399.04 × 7,301.76
  4. Step 4: Simplify right side
    12,604.80x = 127,043,614.31
  5. Step 5: Solve for x
    x = 127,043,614.31/12,604.80
  6. Step 6: Final answer
    x = 10,078.99

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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.