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Finding the Fourth Proportional to 16,275.42, 24,408.17 and 5,742.99

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Solution

The fourth proportional to 16,275.42, 24,408.17 and 5,742.99 is: 8,612.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.42 : 24,408.17 = 5,742.99 : x
  2. Step 2: Convert to fraction form
    16,275.42/24,408.17 = 5,742.99/x
  3. Step 3: Cross multiply
    16,275.42x = 24,408.17 × 5,742.99
  4. Step 4: Simplify right side
    16,275.42x = 140,175,847.51
  5. Step 5: Solve for x
    x = 140,175,847.51/16,275.42
  6. Step 6: Final answer
    x = 8,612.73

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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.