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Finding the Fourth Proportional to 19,894.10, 27,453.99 and 10,819.46

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Solution

The fourth proportional to 19,894.10, 27,453.99 and 10,819.46 is: 14,930.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,894.10 : 27,453.99 = 10,819.46 : x
  2. Step 2: Convert to fraction form
    19,894.10/27,453.99 = 10,819.46/x
  3. Step 3: Cross multiply
    19,894.10x = 27,453.99 × 10,819.46
  4. Step 4: Simplify right side
    19,894.10x = 297,037,209.38
  5. Step 5: Solve for x
    x = 297,037,209.38/19,894.10
  6. Step 6: Final answer
    x = 14,930.92

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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.