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Finding the Fourth Proportional to 18,457.24, 27,681.78 and 5,306.68

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Solution

The fourth proportional to 18,457.24, 27,681.78 and 5,306.68 is: 7,958.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457.24 : 27,681.78 = 5,306.68 : x
  2. Step 2: Convert to fraction form
    18,457.24/27,681.78 = 5,306.68/x
  3. Step 3: Cross multiply
    18,457.24x = 27,681.78 × 5,306.68
  4. Step 4: Simplify right side
    18,457.24x = 146,898,348.29
  5. Step 5: Solve for x
    x = 146,898,348.29/18,457.24
  6. Step 6: Final answer
    x = 7,958.85

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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.