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Finding the Fourth Proportional to 16,233.84, 24,349.39 and 5,138.91

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Solution

The fourth proportional to 16,233.84, 24,349.39 and 5,138.91 is: 7,707.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.84 : 24,349.39 = 5,138.91 : x
  2. Step 2: Convert to fraction form
    16,233.84/24,349.39 = 5,138.91/x
  3. Step 3: Cross multiply
    16,233.84x = 24,349.39 × 5,138.91
  4. Step 4: Simplify right side
    16,233.84x = 125,129,310.92
  5. Step 5: Solve for x
    x = 125,129,310.92/16,233.84
  6. Step 6: Final answer
    x = 7,707.93

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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.