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Finding the Fourth Proportional to 13,150.77, 19,729.14 and 3,790.86

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Solution

The fourth proportional to 13,150.77, 19,729.14 and 3,790.86 is: 5,687.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,150.77 : 19,729.14 = 3,790.86 : x
  2. Step 2: Convert to fraction form
    13,150.77/19,729.14 = 3,790.86/x
  3. Step 3: Cross multiply
    13,150.77x = 19,729.14 × 3,790.86
  4. Step 4: Simplify right side
    13,150.77x = 74,790,407.66
  5. Step 5: Solve for x
    x = 74,790,407.66/13,150.77
  6. Step 6: Final answer
    x = 5,687.15

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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.