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Finding the Fourth Proportional to 16,423.38, 22,664.50 and 9,349.84

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Solution

The fourth proportional to 16,423.38, 22,664.50 and 9,349.84 is: 12,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,423.38 : 22,664.50 = 9,349.84 : x
  2. Step 2: Convert to fraction form
    16,423.38/22,664.50 = 9,349.84/x
  3. Step 3: Cross multiply
    16,423.38x = 22,664.50 × 9,349.84
  4. Step 4: Simplify right side
    16,423.38x = 211,909,448.68
  5. Step 5: Solve for x
    x = 211,909,448.68/16,423.38
  6. Step 6: Final answer
    x = 12,902.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.