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Finding the Fourth Proportional to 19,972.28, 27,553.20 and 12,009.80

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Solution

The fourth proportional to 19,972.28, 27,553.20 and 12,009.80 is: 16,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,972.28 : 27,553.20 = 12,009.80 : x
  2. Step 2: Convert to fraction form
    19,972.28/27,553.20 = 12,009.80/x
  3. Step 3: Cross multiply
    19,972.28x = 27,553.20 × 12,009.80
  4. Step 4: Simplify right side
    19,972.28x = 330,908,421.36
  5. Step 5: Solve for x
    x = 330,908,421.36/19,972.28
  6. Step 6: Final answer
    x = 16,568.38

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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.