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Finding the Fourth Proportional to 14,853.88, 22,268.52 and 7,829.96

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Solution

The fourth proportional to 14,853.88, 22,268.52 and 7,829.96 is: 11,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,853.88 : 22,268.52 = 7,829.96 : x
  2. Step 2: Convert to fraction form
    14,853.88/22,268.52 = 7,829.96/x
  3. Step 3: Cross multiply
    14,853.88x = 22,268.52 × 7,829.96
  4. Step 4: Simplify right side
    14,853.88x = 174,361,620.86
  5. Step 5: Solve for x
    x = 174,361,620.86/14,853.88
  6. Step 6: Final answer
    x = 11,738.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.