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Finding the Fourth Proportional to 16,324.32, 22,532.64 and 9,609.42

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Solution

The fourth proportional to 16,324.32, 22,532.64 and 9,609.42 is: 13,263.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.32 : 22,532.64 = 9,609.42 : x
  2. Step 2: Convert to fraction form
    16,324.32/22,532.64 = 9,609.42/x
  3. Step 3: Cross multiply
    16,324.32x = 22,532.64 × 9,609.42
  4. Step 4: Simplify right side
    16,324.32x = 216,525,601.47
  5. Step 5: Solve for x
    x = 216,525,601.47/16,324.32
  6. Step 6: Final answer
    x = 13,263.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.