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Finding the Fourth Proportional to 28,008.16, 38,662.32 and 16,828

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Solution

The fourth proportional to 28,008.16, 38,662.32 and 16,828 is: 23,229.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,008.16 : 38,662.32 = 16,828 : x
  2. Step 2: Convert to fraction form
    28,008.16/38,662.32 = 16,828/x
  3. Step 3: Cross multiply
    28,008.16x = 38,662.32 × 16,828
  4. Step 4: Simplify right side
    28,008.16x = 650,609,520.96
  5. Step 5: Solve for x
    x = 650,609,520.96/28,008.16
  6. Step 6: Final answer
    x = 23,229.28

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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.