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Finding the Fourth Proportional to 18,558.34, 27,824.91 and 6,865.18

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Solution

The fourth proportional to 18,558.34, 27,824.91 and 6,865.18 is: 10,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,558.34 : 27,824.91 = 6,865.18 : x
  2. Step 2: Convert to fraction form
    18,558.34/27,824.91 = 6,865.18/x
  3. Step 3: Cross multiply
    18,558.34x = 27,824.91 × 6,865.18
  4. Step 4: Simplify right side
    18,558.34x = 191,023,015.63
  5. Step 5: Solve for x
    x = 191,023,015.63/18,558.34
  6. Step 6: Final answer
    x = 10,293.11

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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.