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Finding the Fourth Proportional to 12,444.78, 17,173.17 and 7,728.96

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Solution

The fourth proportional to 12,444.78, 17,173.17 and 7,728.96 is: 10,665.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,444.78 : 17,173.17 = 7,728.96 : x
  2. Step 2: Convert to fraction form
    12,444.78/17,173.17 = 7,728.96/x
  3. Step 3: Cross multiply
    12,444.78x = 17,173.17 × 7,728.96
  4. Step 4: Simplify right side
    12,444.78x = 132,730,744.00
  5. Step 5: Solve for x
    x = 132,730,744.00/12,444.78
  6. Step 6: Final answer
    x = 10,665.58

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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.