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Finding the Fourth Proportional to 12,209.44, 16,849.02 and 6,620.44

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Solution

The fourth proportional to 12,209.44, 16,849.02 and 6,620.44 is: 9,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.44 : 16,849.02 = 6,620.44 : x
  2. Step 2: Convert to fraction form
    12,209.44/16,849.02 = 6,620.44/x
  3. Step 3: Cross multiply
    12,209.44x = 16,849.02 × 6,620.44
  4. Step 4: Simplify right side
    12,209.44x = 111,547,925.97
  5. Step 5: Solve for x
    x = 111,547,925.97/12,209.44
  6. Step 6: Final answer
    x = 9,136.20

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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.