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Finding the Fourth Proportional to 12,476.34, 18,713.97 and 5,080.50

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Solution

The fourth proportional to 12,476.34, 18,713.97 and 5,080.50 is: 7,620.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,476.34 : 18,713.97 = 5,080.50 : x
  2. Step 2: Convert to fraction form
    12,476.34/18,713.97 = 5,080.50/x
  3. Step 3: Cross multiply
    12,476.34x = 18,713.97 × 5,080.50
  4. Step 4: Simplify right side
    12,476.34x = 95,076,324.59
  5. Step 5: Solve for x
    x = 95,076,324.59/12,476.34
  6. Step 6: Final answer
    x = 7,620.53

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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.