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Finding the Fourth Proportional to 24,257.40, 36,378.90 and 9,457.80

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Solution

The fourth proportional to 24,257.40, 36,378.90 and 9,457.80 is: 14,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,257.40 : 36,378.90 = 9,457.80 : x
  2. Step 2: Convert to fraction form
    24,257.40/36,378.90 = 9,457.80/x
  3. Step 3: Cross multiply
    24,257.40x = 36,378.90 × 9,457.80
  4. Step 4: Simplify right side
    24,257.40x = 344,064,360.42
  5. Step 5: Solve for x
    x = 344,064,360.42/24,257.40
  6. Step 6: Final answer
    x = 14,183.89

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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.