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Finding the Fourth Proportional to 16,732, 25,083.69 and 6,865.12

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Solution

The fourth proportional to 16,732, 25,083.69 and 6,865.12 is: 10,291.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,732 : 25,083.69 = 6,865.12 : x
  2. Step 2: Convert to fraction form
    16,732/25,083.69 = 6,865.12/x
  3. Step 3: Cross multiply
    16,732x = 25,083.69 × 6,865.12
  4. Step 4: Simplify right side
    16,732x = 172,202,541.89
  5. Step 5: Solve for x
    x = 172,202,541.89/16,732
  6. Step 6: Final answer
    x = 10,291.81

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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.