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Finding the Fourth Proportional to 12,728.23, 17,561.02 and 7,419.28

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Solution

The fourth proportional to 12,728.23, 17,561.02 and 7,419.28 is: 10,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.23 : 17,561.02 = 7,419.28 : x
  2. Step 2: Convert to fraction form
    12,728.23/17,561.02 = 7,419.28/x
  3. Step 3: Cross multiply
    12,728.23x = 17,561.02 × 7,419.28
  4. Step 4: Simplify right side
    12,728.23x = 130,290,124.47
  5. Step 5: Solve for x
    x = 130,290,124.47/12,728.23
  6. Step 6: Final answer
    x = 10,236.31

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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.