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Finding the Fourth Proportional to 13,375.48, 18,456.66 and 7,406.32

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Solution

The fourth proportional to 13,375.48, 18,456.66 and 7,406.32 is: 10,219.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.48 : 18,456.66 = 7,406.32 : x
  2. Step 2: Convert to fraction form
    13,375.48/18,456.66 = 7,406.32/x
  3. Step 3: Cross multiply
    13,375.48x = 18,456.66 × 7,406.32
  4. Step 4: Simplify right side
    13,375.48x = 136,695,930.09
  5. Step 5: Solve for x
    x = 136,695,930.09/13,375.48
  6. Step 6: Final answer
    x = 10,219.89

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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.