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Finding the Fourth Proportional to 27,703.52, 38,230.82 and 16,377.10

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Solution

The fourth proportional to 27,703.52, 38,230.82 and 16,377.10 is: 22,600.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,703.52 : 38,230.82 = 16,377.10 : x
  2. Step 2: Convert to fraction form
    27,703.52/38,230.82 = 16,377.10/x
  3. Step 3: Cross multiply
    27,703.52x = 38,230.82 × 16,377.10
  4. Step 4: Simplify right side
    27,703.52x = 626,109,962.22
  5. Step 5: Solve for x
    x = 626,109,962.22/27,703.52
  6. Step 6: Final answer
    x = 22,600.38

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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.