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Finding the Fourth Proportional to 20,743.86, 28,627.14 and 12,678.84

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Solution

The fourth proportional to 20,743.86, 28,627.14 and 12,678.84 is: 17,497.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,743.86 : 28,627.14 = 12,678.84 : x
  2. Step 2: Convert to fraction form
    20,743.86/28,627.14 = 12,678.84/x
  3. Step 3: Cross multiply
    20,743.86x = 28,627.14 × 12,678.84
  4. Step 4: Simplify right side
    20,743.86x = 362,958,927.72
  5. Step 5: Solve for x
    x = 362,958,927.72/20,743.86
  6. Step 6: Final answer
    x = 17,497.17

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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.