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Finding the Fourth Proportional to 19,934.10, 27,504.09 and 12,852

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Solution

The fourth proportional to 19,934.10, 27,504.09 and 12,852 is: 17,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,934.10 : 27,504.09 = 12,852 : x
  2. Step 2: Convert to fraction form
    19,934.10/27,504.09 = 12,852/x
  3. Step 3: Cross multiply
    19,934.10x = 27,504.09 × 12,852
  4. Step 4: Simplify right side
    19,934.10x = 353,482,564.68
  5. Step 5: Solve for x
    x = 353,482,564.68/19,934.10
  6. Step 6: Final answer
    x = 17,732.56

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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.