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Finding the Fourth Proportional to 13,402.56, 20,101.32 and 6,005.64

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Solution

The fourth proportional to 13,402.56, 20,101.32 and 6,005.64 is: 9,007.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.56 : 20,101.32 = 6,005.64 : x
  2. Step 2: Convert to fraction form
    13,402.56/20,101.32 = 6,005.64/x
  3. Step 3: Cross multiply
    13,402.56x = 20,101.32 × 6,005.64
  4. Step 4: Simplify right side
    13,402.56x = 120,721,291.44
  5. Step 5: Solve for x
    x = 120,721,291.44/13,402.56
  6. Step 6: Final answer
    x = 9,007.33

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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.