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Finding the Fourth Proportional to 15,293, 21,104.66 and 8,669

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Solution

The fourth proportional to 15,293, 21,104.66 and 8,669 is: 11,963.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293 : 21,104.66 = 8,669 : x
  2. Step 2: Convert to fraction form
    15,293/21,104.66 = 8,669/x
  3. Step 3: Cross multiply
    15,293x = 21,104.66 × 8,669
  4. Step 4: Simplify right side
    15,293x = 182,956,297.54
  5. Step 5: Solve for x
    x = 182,956,297.54/15,293
  6. Step 6: Final answer
    x = 11,963.40

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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.