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Finding the Fourth Proportional to 14,205.91, 19,612.56 and 12,629.65

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Solution

The fourth proportional to 14,205.91, 19,612.56 and 12,629.65 is: 17,436.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.91 : 19,612.56 = 12,629.65 : x
  2. Step 2: Convert to fraction form
    14,205.91/19,612.56 = 12,629.65/x
  3. Step 3: Cross multiply
    14,205.91x = 19,612.56 × 12,629.65
  4. Step 4: Simplify right side
    14,205.91x = 247,699,719.37
  5. Step 5: Solve for x
    x = 247,699,719.37/14,205.91
  6. Step 6: Final answer
    x = 17,436.39

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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.