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Finding the Fourth Proportional to 13,627.30, 20,447.44 and 7,785.58

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Solution

The fourth proportional to 13,627.30, 20,447.44 and 7,785.58 is: 11,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.30 : 20,447.44 = 7,785.58 : x
  2. Step 2: Convert to fraction form
    13,627.30/20,447.44 = 7,785.58/x
  3. Step 3: Cross multiply
    13,627.30x = 20,447.44 × 7,785.58
  4. Step 4: Simplify right side
    13,627.30x = 159,195,179.92
  5. Step 5: Solve for x
    x = 159,195,179.92/13,627.30
  6. Step 6: Final answer
    x = 11,682.08

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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.