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Finding the Fourth Proportional to 16,038, 22,132.44 and 10,449

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Solution

The fourth proportional to 16,038, 22,132.44 and 10,449 is: 14,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,038 : 22,132.44 = 10,449 : x
  2. Step 2: Convert to fraction form
    16,038/22,132.44 = 10,449/x
  3. Step 3: Cross multiply
    16,038x = 22,132.44 × 10,449
  4. Step 4: Simplify right side
    16,038x = 231,261,865.56
  5. Step 5: Solve for x
    x = 231,261,865.56/16,038
  6. Step 6: Final answer
    x = 14,419.62

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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.