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Finding the Fourth Proportional to 13,927.88, 20,892.65 and 5,607.86

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Solution

The fourth proportional to 13,927.88, 20,892.65 and 5,607.86 is: 8,412.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,927.88 : 20,892.65 = 5,607.86 : x
  2. Step 2: Convert to fraction form
    13,927.88/20,892.65 = 5,607.86/x
  3. Step 3: Cross multiply
    13,927.88x = 20,892.65 × 5,607.86
  4. Step 4: Simplify right side
    13,927.88x = 117,162,923.73
  5. Step 5: Solve for x
    x = 117,162,923.73/13,927.88
  6. Step 6: Final answer
    x = 8,412.12

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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.