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Finding the Fourth Proportional to 13,169.04, 18,173.32 and 7,580

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Solution

The fourth proportional to 13,169.04, 18,173.32 and 7,580 is: 10,460.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.04 : 18,173.32 = 7,580 : x
  2. Step 2: Convert to fraction form
    13,169.04/18,173.32 = 7,580/x
  3. Step 3: Cross multiply
    13,169.04x = 18,173.32 × 7,580
  4. Step 4: Simplify right side
    13,169.04x = 137,753,765.60
  5. Step 5: Solve for x
    x = 137,753,765.60/13,169.04
  6. Step 6: Final answer
    x = 10,460.43

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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.