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Finding the Fourth Proportional to 18,144.10, 27,218.58 and 6,457.42

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Solution

The fourth proportional to 18,144.10, 27,218.58 and 6,457.42 is: 9,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,144.10 : 27,218.58 = 6,457.42 : x
  2. Step 2: Convert to fraction form
    18,144.10/27,218.58 = 6,457.42/x
  3. Step 3: Cross multiply
    18,144.10x = 27,218.58 × 6,457.42
  4. Step 4: Simplify right side
    18,144.10x = 175,761,802.86
  5. Step 5: Solve for x
    x = 175,761,802.86/18,144.10
  6. Step 6: Final answer
    x = 9,686.99

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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.