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Finding the Fourth Proportional to 20,778.98, 28,678.20 and 12,282.06

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Solution

The fourth proportional to 20,778.98, 28,678.20 and 12,282.06 is: 16,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,778.98 : 28,678.20 = 12,282.06 : x
  2. Step 2: Convert to fraction form
    20,778.98/28,678.20 = 12,282.06/x
  3. Step 3: Cross multiply
    20,778.98x = 28,678.20 × 12,282.06
  4. Step 4: Simplify right side
    20,778.98x = 352,227,373.09
  5. Step 5: Solve for x
    x = 352,227,373.09/20,778.98
  6. Step 6: Final answer
    x = 16,951.14

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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.