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Finding the Fourth Proportional to 12,728.88, 17,562.96 and 7,424.46

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Solution

The fourth proportional to 12,728.88, 17,562.96 and 7,424.46 is: 10,244.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,728.88 : 17,562.96 = 7,424.46 : x
  2. Step 2: Convert to fraction form
    12,728.88/17,562.96 = 7,424.46/x
  3. Step 3: Cross multiply
    12,728.88x = 17,562.96 × 7,424.46
  4. Step 4: Simplify right side
    12,728.88x = 130,395,494.00
  5. Step 5: Solve for x
    x = 130,395,494.00/12,728.88
  6. Step 6: Final answer
    x = 10,244.07

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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.