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Finding the Fourth Proportional to 13,897.14, 20,857.77 and 6,507.78

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Solution

The fourth proportional to 13,897.14, 20,857.77 and 6,507.78 is: 9,767.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,897.14 : 20,857.77 = 6,507.78 : x
  2. Step 2: Convert to fraction form
    13,897.14/20,857.77 = 6,507.78/x
  3. Step 3: Cross multiply
    13,897.14x = 20,857.77 × 6,507.78
  4. Step 4: Simplify right side
    13,897.14x = 135,737,778.45
  5. Step 5: Solve for x
    x = 135,737,778.45/13,897.14
  6. Step 6: Final answer
    x = 9,767.32

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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.