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Finding the Fourth Proportional to 19,877.28, 29,824.07 and 10,514.79

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Solution

The fourth proportional to 19,877.28, 29,824.07 and 10,514.79 is: 15,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,877.28 : 29,824.07 = 10,514.79 : x
  2. Step 2: Convert to fraction form
    19,877.28/29,824.07 = 10,514.79/x
  3. Step 3: Cross multiply
    19,877.28x = 29,824.07 × 10,514.79
  4. Step 4: Simplify right side
    19,877.28x = 313,593,780.42
  5. Step 5: Solve for x
    x = 313,593,780.42/19,877.28
  6. Step 6: Final answer
    x = 15,776.49

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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.