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Finding the Fourth Proportional to 18,166.01, 27,259.74 and 9,845.82

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Solution

The fourth proportional to 18,166.01, 27,259.74 and 9,845.82 is: 14,774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,166.01 : 27,259.74 = 9,845.82 : x
  2. Step 2: Convert to fraction form
    18,166.01/27,259.74 = 9,845.82/x
  3. Step 3: Cross multiply
    18,166.01x = 27,259.74 × 9,845.82
  4. Step 4: Simplify right side
    18,166.01x = 268,394,493.29
  5. Step 5: Solve for x
    x = 268,394,493.29/18,166.01
  6. Step 6: Final answer
    x = 14,774.55

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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.