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Finding the Fourth Proportional to 13,076.35, 19,608.37 and 4,750.49

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Solution

The fourth proportional to 13,076.35, 19,608.37 and 4,750.49 is: 7,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,076.35 : 19,608.37 = 4,750.49 : x
  2. Step 2: Convert to fraction form
    13,076.35/19,608.37 = 4,750.49/x
  3. Step 3: Cross multiply
    13,076.35x = 19,608.37 × 4,750.49
  4. Step 4: Simplify right side
    13,076.35x = 93,149,365.60
  5. Step 5: Solve for x
    x = 93,149,365.60/13,076.35
  6. Step 6: Final answer
    x = 7,123.50

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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.