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Finding the Fourth Proportional to 27,709.54, 38,232.13 and 16,950.50

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Solution

The fourth proportional to 27,709.54, 38,232.13 and 16,950.50 is: 23,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.54 : 38,232.13 = 16,950.50 : x
  2. Step 2: Convert to fraction form
    27,709.54/38,232.13 = 16,950.50/x
  3. Step 3: Cross multiply
    27,709.54x = 38,232.13 × 16,950.50
  4. Step 4: Simplify right side
    27,709.54x = 648,053,719.57
  5. Step 5: Solve for x
    x = 648,053,719.57/27,709.54
  6. Step 6: Final answer
    x = 23,387.39

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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.