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Finding the Fourth Proportional to 24,650.40, 34,016.76 and 14,042.64

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Solution

The fourth proportional to 24,650.40, 34,016.76 and 14,042.64 is: 19,378.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,650.40 : 34,016.76 = 14,042.64 : x
  2. Step 2: Convert to fraction form
    24,650.40/34,016.76 = 14,042.64/x
  3. Step 3: Cross multiply
    24,650.40x = 34,016.76 × 14,042.64
  4. Step 4: Simplify right side
    24,650.40x = 477,685,114.65
  5. Step 5: Solve for x
    x = 477,685,114.65/24,650.40
  6. Step 6: Final answer
    x = 19,378.39

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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.