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Finding the Fourth Proportional to 13,187.21, 19,785.42 and 7,645.41

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Solution

The fourth proportional to 13,187.21, 19,785.42 and 7,645.41 is: 11,470.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,187.21 : 19,785.42 = 7,645.41 : x
  2. Step 2: Convert to fraction form
    13,187.21/19,785.42 = 7,645.41/x
  3. Step 3: Cross multiply
    13,187.21x = 19,785.42 × 7,645.41
  4. Step 4: Simplify right side
    13,187.21x = 151,267,647.92
  5. Step 5: Solve for x
    x = 151,267,647.92/13,187.21
  6. Step 6: Final answer
    x = 11,470.79

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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.