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Finding the Fourth Proportional to 24,828.09, 37,234.23 and 8,185.02

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Solution

The fourth proportional to 24,828.09, 37,234.23 and 8,185.02 is: 12,274.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,828.09 : 37,234.23 = 8,185.02 : x
  2. Step 2: Convert to fraction form
    24,828.09/37,234.23 = 8,185.02/x
  3. Step 3: Cross multiply
    24,828.09x = 37,234.23 × 8,185.02
  4. Step 4: Simplify right side
    24,828.09x = 304,762,917.23
  5. Step 5: Solve for x
    x = 304,762,917.23/24,828.09
  6. Step 6: Final answer
    x = 12,274.92

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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.