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Finding the Fourth Proportional to 19,638.12, 27,097.56 and 11,253

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Solution

The fourth proportional to 19,638.12, 27,097.56 and 11,253 is: 15,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.12 : 27,097.56 = 11,253 : x
  2. Step 2: Convert to fraction form
    19,638.12/27,097.56 = 11,253/x
  3. Step 3: Cross multiply
    19,638.12x = 27,097.56 × 11,253
  4. Step 4: Simplify right side
    19,638.12x = 304,928,842.68
  5. Step 5: Solve for x
    x = 304,928,842.68/19,638.12
  6. Step 6: Final answer
    x = 15,527.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.