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Finding the Fourth Proportional to 20,176.50, 27,822.51 and 12,215.82

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Solution

The fourth proportional to 20,176.50, 27,822.51 and 12,215.82 is: 16,845.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.50 : 27,822.51 = 12,215.82 : x
  2. Step 2: Convert to fraction form
    20,176.50/27,822.51 = 12,215.82/x
  3. Step 3: Cross multiply
    20,176.50x = 27,822.51 × 12,215.82
  4. Step 4: Simplify right side
    20,176.50x = 339,874,774.11
  5. Step 5: Solve for x
    x = 339,874,774.11/20,176.50
  6. Step 6: Final answer
    x = 16,845.08

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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.