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Finding the Fourth Proportional to 20,580.93, 30,838.59 and 13,179.30

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Solution

The fourth proportional to 20,580.93, 30,838.59 and 13,179.30 is: 19,747.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.93 : 30,838.59 = 13,179.30 : x
  2. Step 2: Convert to fraction form
    20,580.93/30,838.59 = 13,179.30/x
  3. Step 3: Cross multiply
    20,580.93x = 30,838.59 × 13,179.30
  4. Step 4: Simplify right side
    20,580.93x = 406,431,029.19
  5. Step 5: Solve for x
    x = 406,431,029.19/20,580.93
  6. Step 6: Final answer
    x = 19,747.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.