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Finding the Fourth Proportional to 13,379.05, 18,461.34 and 7,714.01

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Solution

The fourth proportional to 13,379.05, 18,461.34 and 7,714.01 is: 10,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.05 : 18,461.34 = 7,714.01 : x
  2. Step 2: Convert to fraction form
    13,379.05/18,461.34 = 7,714.01/x
  3. Step 3: Cross multiply
    13,379.05x = 18,461.34 × 7,714.01
  4. Step 4: Simplify right side
    13,379.05x = 142,410,961.37
  5. Step 5: Solve for x
    x = 142,410,961.37/13,379.05
  6. Step 6: Final answer
    x = 10,644.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.