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Finding the Fourth Proportional to 18,144.38, 27,216.57 and 6,457.64

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Solution

The fourth proportional to 18,144.38, 27,216.57 and 6,457.64 is: 9,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.38 : 27,216.57 = 6,457.64 : x
  2. Step 2: Convert to fraction form
    18,144.38/27,216.57 = 6,457.64/x
  3. Step 3: Cross multiply
    18,144.38x = 27,216.57 × 6,457.64
  4. Step 4: Simplify right side
    18,144.38x = 175,754,675.01
  5. Step 5: Solve for x
    x = 175,754,675.01/18,144.38
  6. Step 6: Final answer
    x = 9,686.46

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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.