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Finding the Fourth Proportional to 16,489.84, 24,733.99 and 5,395.07

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Solution

The fourth proportional to 16,489.84, 24,733.99 and 5,395.07 is: 8,092.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,489.84 : 24,733.99 = 5,395.07 : x
  2. Step 2: Convert to fraction form
    16,489.84/24,733.99 = 5,395.07/x
  3. Step 3: Cross multiply
    16,489.84x = 24,733.99 × 5,395.07
  4. Step 4: Simplify right side
    16,489.84x = 133,441,607.43
  5. Step 5: Solve for x
    x = 133,441,607.43/16,489.84
  6. Step 6: Final answer
    x = 8,092.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.