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Finding the Fourth Proportional to 13,400.58, 20,101.05 and 5,078.37

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Solution

The fourth proportional to 13,400.58, 20,101.05 and 5,078.37 is: 7,617.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,400.58 : 20,101.05 = 5,078.37 : x
  2. Step 2: Convert to fraction form
    13,400.58/20,101.05 = 5,078.37/x
  3. Step 3: Cross multiply
    13,400.58x = 20,101.05 × 5,078.37
  4. Step 4: Simplify right side
    13,400.58x = 102,080,569.29
  5. Step 5: Solve for x
    x = 102,080,569.29/13,400.58
  6. Step 6: Final answer
    x = 7,617.62

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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.