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Finding the Fourth Proportional to 24,017.72, 36,026.59 and 8,222.96

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Solution

The fourth proportional to 24,017.72, 36,026.59 and 8,222.96 is: 12,334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,017.72 : 36,026.59 = 8,222.96 : x
  2. Step 2: Convert to fraction form
    24,017.72/36,026.59 = 8,222.96/x
  3. Step 3: Cross multiply
    24,017.72x = 36,026.59 × 8,222.96
  4. Step 4: Simplify right side
    24,017.72x = 296,245,208.51
  5. Step 5: Solve for x
    x = 296,245,208.51/24,017.72
  6. Step 6: Final answer
    x = 12,334.44

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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.