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Finding the Fourth Proportional to 27,726, 38,261.88 and 16,548

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Solution

The fourth proportional to 27,726, 38,261.88 and 16,548 is: 22,836.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726 : 38,261.88 = 16,548 : x
  2. Step 2: Convert to fraction form
    27,726/38,261.88 = 16,548/x
  3. Step 3: Cross multiply
    27,726x = 38,261.88 × 16,548
  4. Step 4: Simplify right side
    27,726x = 633,157,590.24
  5. Step 5: Solve for x
    x = 633,157,590.24/27,726
  6. Step 6: Final answer
    x = 22,836.24

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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.