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Finding the Fourth Proportional to 12,465.41, 18,698.15 and 3,105.41

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Solution

The fourth proportional to 12,465.41, 18,698.15 and 3,105.41 is: 4,658.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,465.41 : 18,698.15 = 3,105.41 : x
  2. Step 2: Convert to fraction form
    12,465.41/18,698.15 = 3,105.41/x
  3. Step 3: Cross multiply
    12,465.41x = 18,698.15 × 3,105.41
  4. Step 4: Simplify right side
    12,465.41x = 58,065,476.50
  5. Step 5: Solve for x
    x = 58,065,476.50/12,465.41
  6. Step 6: Final answer
    x = 4,658.13

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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.