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Finding the Fourth Proportional to 14,227.31, 21,344.31 and 4,867.43

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Solution

The fourth proportional to 14,227.31, 21,344.31 and 4,867.43 is: 7,302.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,227.31 : 21,344.31 = 4,867.43 : x
  2. Step 2: Convert to fraction form
    14,227.31/21,344.31 = 4,867.43/x
  3. Step 3: Cross multiply
    14,227.31x = 21,344.31 × 4,867.43
  4. Step 4: Simplify right side
    14,227.31x = 103,891,828.10
  5. Step 5: Solve for x
    x = 103,891,828.10/14,227.31
  6. Step 6: Final answer
    x = 7,302.28

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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.