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Finding the Fourth Proportional to 20,078.47, 30,084.86 and 12,156.98

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Solution

The fourth proportional to 20,078.47, 30,084.86 and 12,156.98 is: 18,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.47 : 30,084.86 = 12,156.98 : x
  2. Step 2: Convert to fraction form
    20,078.47/30,084.86 = 12,156.98/x
  3. Step 3: Cross multiply
    20,078.47x = 30,084.86 × 12,156.98
  4. Step 4: Simplify right side
    20,078.47x = 365,741,055.75
  5. Step 5: Solve for x
    x = 365,741,055.75/20,078.47
  6. Step 6: Final answer
    x = 18,215.59

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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.