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Finding the Fourth Proportional to 24,728.74, 37,094.61 and 8,090.53

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Solution

The fourth proportional to 24,728.74, 37,094.61 and 8,090.53 is: 12,136.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,728.74 : 37,094.61 = 8,090.53 : x
  2. Step 2: Convert to fraction form
    24,728.74/37,094.61 = 8,090.53/x
  3. Step 3: Cross multiply
    24,728.74x = 37,094.61 × 8,090.53
  4. Step 4: Simplify right side
    24,728.74x = 300,115,055.04
  5. Step 5: Solve for x
    x = 300,115,055.04/24,728.74
  6. Step 6: Final answer
    x = 12,136.29

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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.