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Finding the Fourth Proportional to 27,729, 38,263.84 and 15,789.96

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Solution

The fourth proportional to 27,729, 38,263.84 and 15,789.96 is: 21,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,729 : 38,263.84 = 15,789.96 : x
  2. Step 2: Convert to fraction form
    27,729/38,263.84 = 15,789.96/x
  3. Step 3: Cross multiply
    27,729x = 38,263.84 × 15,789.96
  4. Step 4: Simplify right side
    27,729x = 604,184,503.05
  5. Step 5: Solve for x
    x = 604,184,503.05/27,729
  6. Step 6: Final answer
    x = 21,788.90

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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.