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Finding the Fourth Proportional to 24,820.74, 37,230.18 and 6,100.83

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Solution

The fourth proportional to 24,820.74, 37,230.18 and 6,100.83 is: 9,151.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,820.74 : 37,230.18 = 6,100.83 : x
  2. Step 2: Convert to fraction form
    24,820.74/37,230.18 = 6,100.83/x
  3. Step 3: Cross multiply
    24,820.74x = 37,230.18 × 6,100.83
  4. Step 4: Simplify right side
    24,820.74x = 227,134,999.05
  5. Step 5: Solve for x
    x = 227,134,999.05/24,820.74
  6. Step 6: Final answer
    x = 9,151.02

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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.