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Finding the Fourth Proportional to 24,820.02, 37,235.16 and 8,181.07

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Solution

The fourth proportional to 24,820.02, 37,235.16 and 8,181.07 is: 12,273.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.02 : 37,235.16 = 8,181.07 : x
  2. Step 2: Convert to fraction form
    24,820.02/37,235.16 = 8,181.07/x
  3. Step 3: Cross multiply
    24,820.02x = 37,235.16 × 8,181.07
  4. Step 4: Simplify right side
    24,820.02x = 304,623,357.33
  5. Step 5: Solve for x
    x = 304,623,357.33/24,820.02
  6. Step 6: Final answer
    x = 12,273.29

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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.