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Finding the Fourth Proportional to 24,286.86, 33,516.54 and 14,728.50

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Solution

The fourth proportional to 24,286.86, 33,516.54 and 14,728.50 is: 20,325.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,286.86 : 33,516.54 = 14,728.50 : x
  2. Step 2: Convert to fraction form
    24,286.86/33,516.54 = 14,728.50/x
  3. Step 3: Cross multiply
    24,286.86x = 33,516.54 × 14,728.50
  4. Step 4: Simplify right side
    24,286.86x = 493,648,359.39
  5. Step 5: Solve for x
    x = 493,648,359.39/24,286.86
  6. Step 6: Final answer
    x = 20,325.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.