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Finding the Fourth Proportional to 24,421.64, 36,633.74 and 6,892.84

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Solution

The fourth proportional to 24,421.64, 36,633.74 and 6,892.84 is: 10,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421.64 : 36,633.74 = 6,892.84 : x
  2. Step 2: Convert to fraction form
    24,421.64/36,633.74 = 6,892.84/x
  3. Step 3: Cross multiply
    24,421.64x = 36,633.74 × 6,892.84
  4. Step 4: Simplify right side
    24,421.64x = 252,510,508.42
  5. Step 5: Solve for x
    x = 252,510,508.42/24,421.64
  6. Step 6: Final answer
    x = 10,339.62

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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.