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Finding the Fourth Proportional to 27,513.84, 41,252.46 and 14,194.98

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Solution

The fourth proportional to 27,513.84, 41,252.46 and 14,194.98 is: 21,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.84 : 41,252.46 = 14,194.98 : x
  2. Step 2: Convert to fraction form
    27,513.84/41,252.46 = 14,194.98/x
  3. Step 3: Cross multiply
    27,513.84x = 41,252.46 × 14,194.98
  4. Step 4: Simplify right side
    27,513.84x = 585,577,844.65
  5. Step 5: Solve for x
    x = 585,577,844.65/27,513.84
  6. Step 6: Final answer
    x = 21,283.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.