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Finding the Fourth Proportional to 18,735.38, 28,105.77 and 7,642.70

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Solution

The fourth proportional to 18,735.38, 28,105.77 and 7,642.70 is: 11,465.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,735.38 : 28,105.77 = 7,642.70 : x
  2. Step 2: Convert to fraction form
    18,735.38/28,105.77 = 7,642.70/x
  3. Step 3: Cross multiply
    18,735.38x = 28,105.77 × 7,642.70
  4. Step 4: Simplify right side
    18,735.38x = 214,803,968.38
  5. Step 5: Solve for x
    x = 214,803,968.38/18,735.38
  6. Step 6: Final answer
    x = 11,465.15

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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.