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Finding the Fourth Proportional to 24,214.23, 36,318.65 and 8,416.53

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Solution

The fourth proportional to 24,214.23, 36,318.65 and 8,416.53 is: 12,623.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,214.23 : 36,318.65 = 8,416.53 : x
  2. Step 2: Convert to fraction form
    24,214.23/36,318.65 = 8,416.53/x
  3. Step 3: Cross multiply
    24,214.23x = 36,318.65 × 8,416.53
  4. Step 4: Simplify right side
    24,214.23x = 305,676,965.20
  5. Step 5: Solve for x
    x = 305,676,965.20/24,214.23
  6. Step 6: Final answer
    x = 12,623.86

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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.