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Finding the Fourth Proportional to 18,959.50, 26,164.11 and 10,576

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Solution

The fourth proportional to 18,959.50, 26,164.11 and 10,576 is: 14,594.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,959.50 : 26,164.11 = 10,576 : x
  2. Step 2: Convert to fraction form
    18,959.50/26,164.11 = 10,576/x
  3. Step 3: Cross multiply
    18,959.50x = 26,164.11 × 10,576
  4. Step 4: Simplify right side
    18,959.50x = 276,711,627.36
  5. Step 5: Solve for x
    x = 276,711,627.36/18,959.50
  6. Step 6: Final answer
    x = 14,594.88

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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.