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Finding the Fourth Proportional to 21,815, 30,104.76 and 12,385.04

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Solution

The fourth proportional to 21,815, 30,104.76 and 12,385.04 is: 17,091.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,815 : 30,104.76 = 12,385.04 : x
  2. Step 2: Convert to fraction form
    21,815/30,104.76 = 12,385.04/x
  3. Step 3: Cross multiply
    21,815x = 30,104.76 × 12,385.04
  4. Step 4: Simplify right side
    21,815x = 372,848,656.79
  5. Step 5: Solve for x
    x = 372,848,656.79/21,815
  6. Step 6: Final answer
    x = 17,091.39

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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.