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Finding the Fourth Proportional to 13,072.56, 19,596.78 and 4,750.56

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Solution

The fourth proportional to 13,072.56, 19,596.78 and 4,750.56 is: 7,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072.56 : 19,596.78 = 4,750.56 : x
  2. Step 2: Convert to fraction form
    13,072.56/19,596.78 = 4,750.56/x
  3. Step 3: Cross multiply
    13,072.56x = 19,596.78 × 4,750.56
  4. Step 4: Simplify right side
    13,072.56x = 93,095,679.20
  5. Step 5: Solve for x
    x = 93,095,679.20/13,072.56
  6. Step 6: Final answer
    x = 7,121.46

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Why These Related Problems?

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