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Finding the Fourth Proportional to 18,648.36, 27,966.50 and 6,165.48

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Solution

The fourth proportional to 18,648.36, 27,966.50 and 6,165.48 is: 9,246.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,648.36 : 27,966.50 = 6,165.48 : x
  2. Step 2: Convert to fraction form
    18,648.36/27,966.50 = 6,165.48/x
  3. Step 3: Cross multiply
    18,648.36x = 27,966.50 × 6,165.48
  4. Step 4: Simplify right side
    18,648.36x = 172,426,896.42
  5. Step 5: Solve for x
    x = 172,426,896.42/18,648.36
  6. Step 6: Final answer
    x = 9,246.22

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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.