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Finding the Fourth Proportional to 14,172.16, 19,549.44 and 8,857.75

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Solution

The fourth proportional to 14,172.16, 19,549.44 and 8,857.75 is: 12,218.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.16 : 19,549.44 = 8,857.75 : x
  2. Step 2: Convert to fraction form
    14,172.16/19,549.44 = 8,857.75/x
  3. Step 3: Cross multiply
    14,172.16x = 19,549.44 × 8,857.75
  4. Step 4: Simplify right side
    14,172.16x = 173,164,052.16
  5. Step 5: Solve for x
    x = 173,164,052.16/14,172.16
  6. Step 6: Final answer
    x = 12,218.61

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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.