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Finding the Fourth Proportional to 18,202.14, 27,276.48 and 9,886.68

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Solution

The fourth proportional to 18,202.14, 27,276.48 and 9,886.68 is: 14,815.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.14 : 27,276.48 = 9,886.68 : x
  2. Step 2: Convert to fraction form
    18,202.14/27,276.48 = 9,886.68/x
  3. Step 3: Cross multiply
    18,202.14x = 27,276.48 × 9,886.68
  4. Step 4: Simplify right side
    18,202.14x = 269,673,829.29
  5. Step 5: Solve for x
    x = 269,673,829.29/18,202.14
  6. Step 6: Final answer
    x = 14,815.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.