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Finding the Fourth Proportional to 27,818.48, 38,377.32 and 16,634

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Solution

The fourth proportional to 27,818.48, 38,377.32 and 16,634 is: 22,947.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,818.48 : 38,377.32 = 16,634 : x
  2. Step 2: Convert to fraction form
    27,818.48/38,377.32 = 16,634/x
  3. Step 3: Cross multiply
    27,818.48x = 38,377.32 × 16,634
  4. Step 4: Simplify right side
    27,818.48x = 638,368,340.88
  5. Step 5: Solve for x
    x = 638,368,340.88/27,818.48
  6. Step 6: Final answer
    x = 22,947.64

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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.