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Finding the Fourth Proportional to 27,784.99, 38,339.16 and 16,877.46

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Solution

The fourth proportional to 27,784.99, 38,339.16 and 16,877.46 is: 23,288.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.99 : 38,339.16 = 16,877.46 : x
  2. Step 2: Convert to fraction form
    27,784.99/38,339.16 = 16,877.46/x
  3. Step 3: Cross multiply
    27,784.99x = 38,339.16 × 16,877.46
  4. Step 4: Simplify right side
    27,784.99x = 647,067,639.33
  5. Step 5: Solve for x
    x = 647,067,639.33/27,784.99
  6. Step 6: Final answer
    x = 23,288.39

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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.