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Finding the Fourth Proportional to 16,227.31, 22,389.45 and 9,509.33

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Solution

The fourth proportional to 16,227.31, 22,389.45 and 9,509.33 is: 13,120.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,227.31 : 22,389.45 = 9,509.33 : x
  2. Step 2: Convert to fraction form
    16,227.31/22,389.45 = 9,509.33/x
  3. Step 3: Cross multiply
    16,227.31x = 22,389.45 × 9,509.33
  4. Step 4: Simplify right side
    16,227.31x = 212,908,668.57
  5. Step 5: Solve for x
    x = 212,908,668.57/16,227.31
  6. Step 6: Final answer
    x = 13,120.39

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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.