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Finding the Fourth Proportional to 12,265.35, 18,387.09 and 10,202.28

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Solution

The fourth proportional to 12,265.35, 18,387.09 and 10,202.28 is: 15,294.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,265.35 : 18,387.09 = 10,202.28 : x
  2. Step 2: Convert to fraction form
    12,265.35/18,387.09 = 10,202.28/x
  3. Step 3: Cross multiply
    12,265.35x = 18,387.09 × 10,202.28
  4. Step 4: Simplify right side
    12,265.35x = 187,590,240.57
  5. Step 5: Solve for x
    x = 187,590,240.57/12,265.35
  6. Step 6: Final answer
    x = 15,294.32

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