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Finding the Fourth Proportional to 24,857.47, 37,276.58 and 8,213.03

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Solution

The fourth proportional to 24,857.47, 37,276.58 and 8,213.03 is: 12,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,857.47 : 37,276.58 = 8,213.03 : x
  2. Step 2: Convert to fraction form
    24,857.47/37,276.58 = 8,213.03/x
  3. Step 3: Cross multiply
    24,857.47x = 37,276.58 × 8,213.03
  4. Step 4: Simplify right side
    24,857.47x = 306,153,783.56
  5. Step 5: Solve for x
    x = 306,153,783.56/24,857.47
  6. Step 6: Final answer
    x = 12,316.37

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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.