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Finding the Fourth Proportional to 24,015.12, 36,026.28 and 8,431.50

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Solution

The fourth proportional to 24,015.12, 36,026.28 and 8,431.50 is: 12,648.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,015.12 : 36,026.28 = 8,431.50 : x
  2. Step 2: Convert to fraction form
    24,015.12/36,026.28 = 8,431.50/x
  3. Step 3: Cross multiply
    24,015.12x = 36,026.28 × 8,431.50
  4. Step 4: Simplify right side
    24,015.12x = 303,755,579.82
  5. Step 5: Solve for x
    x = 303,755,579.82/24,015.12
  6. Step 6: Final answer
    x = 12,648.51

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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.