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Finding the Fourth Proportional to 12,129.59, 18,201.20 and 4,734.56

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Solution

The fourth proportional to 12,129.59, 18,201.20 and 4,734.56 is: 7,104.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.59 : 18,201.20 = 4,734.56 : x
  2. Step 2: Convert to fraction form
    12,129.59/18,201.20 = 4,734.56/x
  3. Step 3: Cross multiply
    12,129.59x = 18,201.20 × 4,734.56
  4. Step 4: Simplify right side
    12,129.59x = 86,174,673.47
  5. Step 5: Solve for x
    x = 86,174,673.47/12,129.59
  6. Step 6: Final answer
    x = 7,104.50

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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.