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Finding the Fourth Proportional to 16,097.36, 24,125.88 and 6,852.56

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Solution

The fourth proportional to 16,097.36, 24,125.88 and 6,852.56 is: 10,270.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.36 : 24,125.88 = 6,852.56 : x
  2. Step 2: Convert to fraction form
    16,097.36/24,125.88 = 6,852.56/x
  3. Step 3: Cross multiply
    16,097.36x = 24,125.88 × 6,852.56
  4. Step 4: Simplify right side
    16,097.36x = 165,324,040.25
  5. Step 5: Solve for x
    x = 165,324,040.25/16,097.36
  6. Step 6: Final answer
    x = 10,270.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.