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Finding the Fourth Proportional to 24,015.38, 36,023.27 and 8,433

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Solution

The fourth proportional to 24,015.38, 36,023.27 and 8,433 is: 12,649.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.38 : 36,023.27 = 8,433 : x
  2. Step 2: Convert to fraction form
    24,015.38/36,023.27 = 8,433/x
  3. Step 3: Cross multiply
    24,015.38x = 36,023.27 × 8,433
  4. Step 4: Simplify right side
    24,015.38x = 303,784,193.75
  5. Step 5: Solve for x
    x = 303,784,193.75/24,015.38
  6. Step 6: Final answer
    x = 12,649.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.