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Finding the Fourth Proportional to 19,732.54, 27,233.52 and 12,563.18

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Solution

The fourth proportional to 19,732.54, 27,233.52 and 12,563.18 is: 17,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,732.54 : 27,233.52 = 12,563.18 : x
  2. Step 2: Convert to fraction form
    19,732.54/27,233.52 = 12,563.18/x
  3. Step 3: Cross multiply
    19,732.54x = 27,233.52 × 12,563.18
  4. Step 4: Simplify right side
    19,732.54x = 342,139,613.79
  5. Step 5: Solve for x
    x = 342,139,613.79/19,732.54
  6. Step 6: Final answer
    x = 17,338.85

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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.