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Finding the Fourth Proportional to 13,860.90, 20,784.54 and 7,936.86

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Solution

The fourth proportional to 13,860.90, 20,784.54 and 7,936.86 is: 11,901.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,860.90 : 20,784.54 = 7,936.86 : x
  2. Step 2: Convert to fraction form
    13,860.90/20,784.54 = 7,936.86/x
  3. Step 3: Cross multiply
    13,860.90x = 20,784.54 × 7,936.86
  4. Step 4: Simplify right side
    13,860.90x = 164,963,984.14
  5. Step 5: Solve for x
    x = 164,963,984.14/13,860.90
  6. Step 6: Final answer
    x = 11,901.39

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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.