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Finding the Fourth Proportional to 12,726.36, 17,562.38 and 7,420.15

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Solution

The fourth proportional to 12,726.36, 17,562.38 and 7,420.15 is: 10,239.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,726.36 : 17,562.38 = 7,420.15 : x
  2. Step 2: Convert to fraction form
    12,726.36/17,562.38 = 7,420.15/x
  3. Step 3: Cross multiply
    12,726.36x = 17,562.38 × 7,420.15
  4. Step 4: Simplify right side
    12,726.36x = 130,315,456.86
  5. Step 5: Solve for x
    x = 130,315,456.86/12,726.36
  6. Step 6: Final answer
    x = 10,239.81

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Why These Related Problems?

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