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Finding the Fourth Proportional to 16,196.38, 22,347.08 and 9,122.80

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Solution

The fourth proportional to 16,196.38, 22,347.08 and 9,122.80 is: 12,587.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.38 : 22,347.08 = 9,122.80 : x
  2. Step 2: Convert to fraction form
    16,196.38/22,347.08 = 9,122.80/x
  3. Step 3: Cross multiply
    16,196.38x = 22,347.08 × 9,122.80
  4. Step 4: Simplify right side
    16,196.38x = 203,867,941.42
  5. Step 5: Solve for x
    x = 203,867,941.42/16,196.38
  6. Step 6: Final answer
    x = 12,587.25

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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.