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Finding the Fourth Proportional to 12,776.04, 17,630.92 and 7,469.80

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Solution

The fourth proportional to 12,776.04, 17,630.92 and 7,469.80 is: 10,308.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,776.04 : 17,630.92 = 7,469.80 : x
  2. Step 2: Convert to fraction form
    12,776.04/17,630.92 = 7,469.80/x
  3. Step 3: Cross multiply
    12,776.04x = 17,630.92 × 7,469.80
  4. Step 4: Simplify right side
    12,776.04x = 131,699,446.22
  5. Step 5: Solve for x
    x = 131,699,446.22/12,776.04
  6. Step 6: Final answer
    x = 10,308.32

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