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Finding the Fourth Proportional to 12,696.58, 19,044.33 and 3,462.58

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Solution

The fourth proportional to 12,696.58, 19,044.33 and 3,462.58 is: 5,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696.58 : 19,044.33 = 3,462.58 : x
  2. Step 2: Convert to fraction form
    12,696.58/19,044.33 = 3,462.58/x
  3. Step 3: Cross multiply
    12,696.58x = 19,044.33 × 3,462.58
  4. Step 4: Simplify right side
    12,696.58x = 65,942,516.17
  5. Step 5: Solve for x
    x = 65,942,516.17/12,696.58
  6. Step 6: Final answer
    x = 5,193.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.