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Finding the Fourth Proportional to 24,748.86, 37,130.21 and 8,120.59

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Solution

The fourth proportional to 24,748.86, 37,130.21 and 8,120.59 is: 12,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,748.86 : 37,130.21 = 8,120.59 : x
  2. Step 2: Convert to fraction form
    24,748.86/37,130.21 = 8,120.59/x
  3. Step 3: Cross multiply
    24,748.86x = 37,130.21 × 8,120.59
  4. Step 4: Simplify right side
    24,748.86x = 301,519,212.02
  5. Step 5: Solve for x
    x = 301,519,212.02/24,748.86
  6. Step 6: Final answer
    x = 12,183.16

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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.