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Finding the Fourth Proportional to 16,394.07, 22,623.30 and 9,224.39

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Solution

The fourth proportional to 16,394.07, 22,623.30 and 9,224.39 is: 12,729.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,394.07 : 22,623.30 = 9,224.39 : x
  2. Step 2: Convert to fraction form
    16,394.07/22,623.30 = 9,224.39/x
  3. Step 3: Cross multiply
    16,394.07x = 22,623.30 × 9,224.39
  4. Step 4: Simplify right side
    16,394.07x = 208,686,096.17
  5. Step 5: Solve for x
    x = 208,686,096.17/16,394.07
  6. Step 6: Final answer
    x = 12,729.37

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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.