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Finding the Fourth Proportional to 13,398.56, 20,074.56 and 6,458.24

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Solution

The fourth proportional to 13,398.56, 20,074.56 and 6,458.24 is: 9,676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.56 : 20,074.56 = 6,458.24 : x
  2. Step 2: Convert to fraction form
    13,398.56/20,074.56 = 6,458.24/x
  3. Step 3: Cross multiply
    13,398.56x = 20,074.56 × 6,458.24
  4. Step 4: Simplify right side
    13,398.56x = 129,646,326.37
  5. Step 5: Solve for x
    x = 129,646,326.37/13,398.56
  6. Step 6: Final answer
    x = 9,676.14

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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.