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Finding the Fourth Proportional to 12,456.69, 17,188.83 and 7,420.20

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Solution

The fourth proportional to 12,456.69, 17,188.83 and 7,420.20 is: 10,239.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.69 : 17,188.83 = 7,420.20 : x
  2. Step 2: Convert to fraction form
    12,456.69/17,188.83 = 7,420.20/x
  3. Step 3: Cross multiply
    12,456.69x = 17,188.83 × 7,420.20
  4. Step 4: Simplify right side
    12,456.69x = 127,544,556.37
  5. Step 5: Solve for x
    x = 127,544,556.37/12,456.69
  6. Step 6: Final answer
    x = 10,239.04

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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.