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Finding the Fourth Proportional to 12,966, 19,456 and 10,050

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Solution

The fourth proportional to 12,966, 19,456 and 10,050 is: 15,080.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,966 : 19,456 = 10,050 : x
  2. Step 2: Convert to fraction form
    12,966/19,456 = 10,050/x
  3. Step 3: Cross multiply
    12,966x = 19,456 × 10,050
  4. Step 4: Simplify right side
    12,966x = 195,532,800
  5. Step 5: Solve for x
    x = 195,532,800/12,966
  6. Step 6: Final answer
    x = 15,080.43

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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.