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Finding the Fourth Proportional to 27,720.69, 38,259.21 and 15,782.37

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Solution

The fourth proportional to 27,720.69, 38,259.21 and 15,782.37 is: 21,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,720.69 : 38,259.21 = 15,782.37 : x
  2. Step 2: Convert to fraction form
    27,720.69/38,259.21 = 15,782.37/x
  3. Step 3: Cross multiply
    27,720.69x = 38,259.21 × 15,782.37
  4. Step 4: Simplify right side
    27,720.69x = 603,821,008.13
  5. Step 5: Solve for x
    x = 603,821,008.13/27,720.69
  6. Step 6: Final answer
    x = 21,782.32

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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.