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Finding the Fourth Proportional to 16,872.04, 23,283.38 and 9,420.04

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Solution

The fourth proportional to 16,872.04, 23,283.38 and 9,420.04 is: 12,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,872.04 : 23,283.38 = 9,420.04 : x
  2. Step 2: Convert to fraction form
    16,872.04/23,283.38 = 9,420.04/x
  3. Step 3: Cross multiply
    16,872.04x = 23,283.38 × 9,420.04
  4. Step 4: Simplify right side
    16,872.04x = 219,330,370.94
  5. Step 5: Solve for x
    x = 219,330,370.94/16,872.04
  6. Step 6: Final answer
    x = 12,999.64

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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.