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Finding the Fourth Proportional to 16,344, 22,554.88 and 8,892.16

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Solution

The fourth proportional to 16,344, 22,554.88 and 8,892.16 is: 12,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,344 : 22,554.88 = 8,892.16 : x
  2. Step 2: Convert to fraction form
    16,344/22,554.88 = 8,892.16/x
  3. Step 3: Cross multiply
    16,344x = 22,554.88 × 8,892.16
  4. Step 4: Simplify right side
    16,344x = 200,561,601.74
  5. Step 5: Solve for x
    x = 200,561,601.74/16,344
  6. Step 6: Final answer
    x = 12,271.27

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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.