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Finding the Fourth Proportional to 20,128.56, 30,186.02 and 7,645.58

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Solution

The fourth proportional to 20,128.56, 30,186.02 and 7,645.58 is: 11,465.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,128.56 : 30,186.02 = 7,645.58 : x
  2. Step 2: Convert to fraction form
    20,128.56/30,186.02 = 7,645.58/x
  3. Step 3: Cross multiply
    20,128.56x = 30,186.02 × 7,645.58
  4. Step 4: Simplify right side
    20,128.56x = 230,789,441.63
  5. Step 5: Solve for x
    x = 230,789,441.63/20,128.56
  6. Step 6: Final answer
    x = 11,465.77

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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.