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Finding the Fourth Proportional to 28,164.34, 38,871.21 and 16,830.24

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Solution

The fourth proportional to 28,164.34, 38,871.21 and 16,830.24 is: 23,228.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,164.34 : 38,871.21 = 16,830.24 : x
  2. Step 2: Convert to fraction form
    28,164.34/38,871.21 = 16,830.24/x
  3. Step 3: Cross multiply
    28,164.34x = 38,871.21 × 16,830.24
  4. Step 4: Simplify right side
    28,164.34x = 654,211,793.39
  5. Step 5: Solve for x
    x = 654,211,793.39/28,164.34
  6. Step 6: Final answer
    x = 23,228.37

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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.