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Finding the Fourth Proportional to 24,821.32, 37,234.71 and 10,771.69

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Solution

The fourth proportional to 24,821.32, 37,234.71 and 10,771.69 is: 16,158.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,821.32 : 37,234.71 = 10,771.69 : x
  2. Step 2: Convert to fraction form
    24,821.32/37,234.71 = 10,771.69/x
  3. Step 3: Cross multiply
    24,821.32x = 37,234.71 × 10,771.69
  4. Step 4: Simplify right side
    24,821.32x = 401,080,699.50
  5. Step 5: Solve for x
    x = 401,080,699.50/24,821.32
  6. Step 6: Final answer
    x = 16,158.72

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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.