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Finding the Fourth Proportional to 18,546, 27,829.94 and 6,867.42

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Solution

The fourth proportional to 18,546, 27,829.94 and 6,867.42 is: 10,305.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,546 : 27,829.94 = 6,867.42 : x
  2. Step 2: Convert to fraction form
    18,546/27,829.94 = 6,867.42/x
  3. Step 3: Cross multiply
    18,546x = 27,829.94 × 6,867.42
  4. Step 4: Simplify right side
    18,546x = 191,119,886.55
  5. Step 5: Solve for x
    x = 191,119,886.55/18,546
  6. Step 6: Final answer
    x = 10,305.18

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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.