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Finding the Fourth Proportional to 12,728.95, 17,569.20 and 7,424.56

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Solution

The fourth proportional to 12,728.95, 17,569.20 and 7,424.56 is: 10,247.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.95 : 17,569.20 = 7,424.56 : x
  2. Step 2: Convert to fraction form
    12,728.95/17,569.20 = 7,424.56/x
  3. Step 3: Cross multiply
    12,728.95x = 17,569.20 × 7,424.56
  4. Step 4: Simplify right side
    12,728.95x = 130,443,629.36
  5. Step 5: Solve for x
    x = 130,443,629.36/12,728.95
  6. Step 6: Final answer
    x = 10,247.79

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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.