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Finding the Fourth Proportional to 24,226.29, 36,335.79 and 8,433.72

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Solution

The fourth proportional to 24,226.29, 36,335.79 and 8,433.72 is: 12,649.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,226.29 : 36,335.79 = 8,433.72 : x
  2. Step 2: Convert to fraction form
    24,226.29/36,335.79 = 8,433.72/x
  3. Step 3: Cross multiply
    24,226.29x = 36,335.79 × 8,433.72
  4. Step 4: Simplify right side
    24,226.29x = 306,445,878.84
  5. Step 5: Solve for x
    x = 306,445,878.84/24,226.29
  6. Step 6: Final answer
    x = 12,649.31

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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.