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Finding the Fourth Proportional to 24,106.41, 36,151.14 and 7,234.38

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Solution

The fourth proportional to 24,106.41, 36,151.14 and 7,234.38 is: 10,849.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106.41 : 36,151.14 = 7,234.38 : x
  2. Step 2: Convert to fraction form
    24,106.41/36,151.14 = 7,234.38/x
  3. Step 3: Cross multiply
    24,106.41x = 36,151.14 × 7,234.38
  4. Step 4: Simplify right side
    24,106.41x = 261,531,084.19
  5. Step 5: Solve for x
    x = 261,531,084.19/24,106.41
  6. Step 6: Final answer
    x = 10,849.03

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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.