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Finding the Fourth Proportional to 16,214.28, 24,324.66 and 5,122

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Solution

The fourth proportional to 16,214.28, 24,324.66 and 5,122 is: 7,684.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,214.28 : 24,324.66 = 5,122 : x
  2. Step 2: Convert to fraction form
    16,214.28/24,324.66 = 5,122/x
  3. Step 3: Cross multiply
    16,214.28x = 24,324.66 × 5,122
  4. Step 4: Simplify right side
    16,214.28x = 124,590,908.52
  5. Step 5: Solve for x
    x = 124,590,908.52/16,214.28
  6. Step 6: Final answer
    x = 7,684.02

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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.