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Finding the Fourth Proportional to 20,999.24, 28,978.86 and 11,567.78

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Solution

The fourth proportional to 20,999.24, 28,978.86 and 11,567.78 is: 15,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,999.24 : 28,978.86 = 11,567.78 : x
  2. Step 2: Convert to fraction form
    20,999.24/28,978.86 = 11,567.78/x
  3. Step 3: Cross multiply
    20,999.24x = 28,978.86 × 11,567.78
  4. Step 4: Simplify right side
    20,999.24x = 335,221,077.13
  5. Step 5: Solve for x
    x = 335,221,077.13/20,999.24
  6. Step 6: Final answer
    x = 15,963.49

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1.5x scale

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.