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Finding the Fourth Proportional to 14,324.18, 21,494.61 and 6,003.50

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Solution

The fourth proportional to 14,324.18, 21,494.61 and 6,003.50 is: 9,008.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324.18 : 21,494.61 = 6,003.50 : x
  2. Step 2: Convert to fraction form
    14,324.18/21,494.61 = 6,003.50/x
  3. Step 3: Cross multiply
    14,324.18x = 21,494.61 × 6,003.50
  4. Step 4: Simplify right side
    14,324.18x = 129,042,891.14
  5. Step 5: Solve for x
    x = 129,042,891.14/14,324.18
  6. Step 6: Final answer
    x = 9,008.75

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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.