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Finding the Fourth Proportional to 27,827.49, 41,754.92 and 13,033.84

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Solution

The fourth proportional to 27,827.49, 41,754.92 and 13,033.84 is: 19,557.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,827.49 : 41,754.92 = 13,033.84 : x
  2. Step 2: Convert to fraction form
    27,827.49/41,754.92 = 13,033.84/x
  3. Step 3: Cross multiply
    27,827.49x = 41,754.92 × 13,033.84
  4. Step 4: Simplify right side
    27,827.49x = 544,226,946.49
  5. Step 5: Solve for x
    x = 544,226,946.49/27,827.49
  6. Step 6: Final answer
    x = 19,557.17

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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.