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Finding the Fourth Proportional to 16,349.38, 22,559.60 and 9,179.66

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Solution

The fourth proportional to 16,349.38, 22,559.60 and 9,179.66 is: 12,666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,349.38 : 22,559.60 = 9,179.66 : x
  2. Step 2: Convert to fraction form
    16,349.38/22,559.60 = 9,179.66/x
  3. Step 3: Cross multiply
    16,349.38x = 22,559.60 × 9,179.66
  4. Step 4: Simplify right side
    16,349.38x = 207,089,537.08
  5. Step 5: Solve for x
    x = 207,089,537.08/16,349.38
  6. Step 6: Final answer
    x = 12,666.51

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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.