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Finding the Fourth Proportional to 18,124.12, 27,165.69 and 9,785.56

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Solution

The fourth proportional to 18,124.12, 27,165.69 and 9,785.56 is: 14,667.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124.12 : 27,165.69 = 9,785.56 : x
  2. Step 2: Convert to fraction form
    18,124.12/27,165.69 = 9,785.56/x
  3. Step 3: Cross multiply
    18,124.12x = 27,165.69 × 9,785.56
  4. Step 4: Simplify right side
    18,124.12x = 265,831,489.44
  5. Step 5: Solve for x
    x = 265,831,489.44/18,124.12
  6. Step 6: Final answer
    x = 14,667.28

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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.