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Finding the Fourth Proportional to 19,654.10, 27,113.82 and 13,278.59

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Solution

The fourth proportional to 19,654.10, 27,113.82 and 13,278.59 is: 18,318.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,654.10 : 27,113.82 = 13,278.59 : x
  2. Step 2: Convert to fraction form
    19,654.10/27,113.82 = 13,278.59/x
  3. Step 3: Cross multiply
    19,654.10x = 27,113.82 × 13,278.59
  4. Step 4: Simplify right side
    19,654.10x = 360,033,299.11
  5. Step 5: Solve for x
    x = 360,033,299.11/19,654.10
  6. Step 6: Final answer
    x = 18,318.48

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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.