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Finding the Fourth Proportional to 12,396.10, 17,055.90 and 10,712.11

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Solution

The fourth proportional to 12,396.10, 17,055.90 and 10,712.11 is: 14,738.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,396.10 : 17,055.90 = 10,712.11 : x
  2. Step 2: Convert to fraction form
    12,396.10/17,055.90 = 10,712.11/x
  3. Step 3: Cross multiply
    12,396.10x = 17,055.90 × 10,712.11
  4. Step 4: Simplify right side
    12,396.10x = 182,704,676.95
  5. Step 5: Solve for x
    x = 182,704,676.95/12,396.10
  6. Step 6: Final answer
    x = 14,738.88

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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.