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Finding the Fourth Proportional to 16,326, 22,522.29 and 9,607.38

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Solution

The fourth proportional to 16,326, 22,522.29 and 9,607.38 is: 13,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,326 : 22,522.29 = 9,607.38 : x
  2. Step 2: Convert to fraction form
    16,326/22,522.29 = 9,607.38/x
  3. Step 3: Cross multiply
    16,326x = 22,522.29 × 9,607.38
  4. Step 4: Simplify right side
    16,326x = 216,380,198.50
  5. Step 5: Solve for x
    x = 216,380,198.50/16,326
  6. Step 6: Final answer
    x = 13,253.72

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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.