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Finding the Fourth Proportional to 16,324.72, 22,526.68 and 9,057.00

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Solution

The fourth proportional to 16,324.72, 22,526.68 and 9,057.00 is: 12,497.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,324.72 : 22,526.68 = 9,057.00 : x
  2. Step 2: Convert to fraction form
    16,324.72/22,526.68 = 9,057.00/x
  3. Step 3: Cross multiply
    16,324.72x = 22,526.68 × 9,057.00
  4. Step 4: Simplify right side
    16,324.72x = 204,024,118.33
  5. Step 5: Solve for x
    x = 204,024,118.33/16,324.72
  6. Step 6: Final answer
    x = 12,497.86

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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.