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Finding the Fourth Proportional to 12,129.24, 18,194.24 and 4,733.40

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Solution

The fourth proportional to 12,129.24, 18,194.24 and 4,733.40 is: 7,100.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.24 : 18,194.24 = 4,733.40 : x
  2. Step 2: Convert to fraction form
    12,129.24/18,194.24 = 4,733.40/x
  3. Step 3: Cross multiply
    12,129.24x = 18,194.24 × 4,733.40
  4. Step 4: Simplify right side
    12,129.24x = 86,120,615.62
  5. Step 5: Solve for x
    x = 86,120,615.62/12,129.24
  6. Step 6: Final answer
    x = 7,100.25

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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.