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Finding the Fourth Proportional to 15,966, 23,958.72 and 6,732

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Solution

The fourth proportional to 15,966, 23,958.72 and 6,732 is: 10,102.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,966 : 23,958.72 = 6,732 : x
  2. Step 2: Convert to fraction form
    15,966/23,958.72 = 6,732/x
  3. Step 3: Cross multiply
    15,966x = 23,958.72 × 6,732
  4. Step 4: Simplify right side
    15,966x = 161,290,103.04
  5. Step 5: Solve for x
    x = 161,290,103.04/15,966
  6. Step 6: Final answer
    x = 10,102.10

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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.