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Finding the Fourth Proportional to 20,580.30, 28,404.75 and 12,084.30

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Solution

The fourth proportional to 20,580.30, 28,404.75 and 12,084.30 is: 16,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,580.30 : 28,404.75 = 12,084.30 : x
  2. Step 2: Convert to fraction form
    20,580.30/28,404.75 = 12,084.30/x
  3. Step 3: Cross multiply
    20,580.30x = 28,404.75 × 12,084.30
  4. Step 4: Simplify right side
    20,580.30x = 343,251,520.43
  5. Step 5: Solve for x
    x = 343,251,520.43/20,580.30
  6. Step 6: Final answer
    x = 16,678.65

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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.