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Finding the Fourth Proportional to 13,866.74, 20,785.12 and 5,537.60

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Solution

The fourth proportional to 13,866.74, 20,785.12 and 5,537.60 is: 8,300.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.74 : 20,785.12 = 5,537.60 : x
  2. Step 2: Convert to fraction form
    13,866.74/20,785.12 = 5,537.60/x
  3. Step 3: Cross multiply
    13,866.74x = 20,785.12 × 5,537.60
  4. Step 4: Simplify right side
    13,866.74x = 115,099,680.51
  5. Step 5: Solve for x
    x = 115,099,680.51/13,866.74
  6. Step 6: Final answer
    x = 8,300.41

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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.