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Finding the Fourth Proportional to 27,821.52, 41,734.71 and 12,235.50

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Solution

The fourth proportional to 27,821.52, 41,734.71 and 12,235.50 is: 18,354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,821.52 : 41,734.71 = 12,235.50 : x
  2. Step 2: Convert to fraction form
    27,821.52/41,734.71 = 12,235.50/x
  3. Step 3: Cross multiply
    27,821.52x = 41,734.71 × 12,235.50
  4. Step 4: Simplify right side
    27,821.52x = 510,645,044.21
  5. Step 5: Solve for x
    x = 510,645,044.21/27,821.52
  6. Step 6: Final answer
    x = 18,354.32

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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.