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Finding the Fourth Proportional to 16,324.16, 22,532.48 and 9,255.30

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Solution

The fourth proportional to 16,324.16, 22,532.48 and 9,255.30 is: 12,775.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.16 : 22,532.48 = 9,255.30 : x
  2. Step 2: Convert to fraction form
    16,324.16/22,532.48 = 9,255.30/x
  3. Step 3: Cross multiply
    16,324.16x = 22,532.48 × 9,255.30
  4. Step 4: Simplify right side
    16,324.16x = 208,544,862.14
  5. Step 5: Solve for x
    x = 208,544,862.14/16,324.16
  6. Step 6: Final answer
    x = 12,775.23

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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.