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Finding the Fourth Proportional to 21,894.21, 30,214.75 and 12,949.38

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Solution

The fourth proportional to 21,894.21, 30,214.75 and 12,949.38 is: 17,870.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.21 : 30,214.75 = 12,949.38 : x
  2. Step 2: Convert to fraction form
    21,894.21/30,214.75 = 12,949.38/x
  3. Step 3: Cross multiply
    21,894.21x = 30,214.75 × 12,949.38
  4. Step 4: Simplify right side
    21,894.21x = 391,262,279.36
  5. Step 5: Solve for x
    x = 391,262,279.36/21,894.21
  6. Step 6: Final answer
    x = 17,870.58

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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.