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Finding the Fourth Proportional to 13,783.56, 20,575.35 and 12,755.64

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Solution

The fourth proportional to 13,783.56, 20,575.35 and 12,755.64 is: 19,040.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.56 : 20,575.35 = 12,755.64 : x
  2. Step 2: Convert to fraction form
    13,783.56/20,575.35 = 12,755.64/x
  3. Step 3: Cross multiply
    13,783.56x = 20,575.35 × 12,755.64
  4. Step 4: Simplify right side
    13,783.56x = 262,451,757.47
  5. Step 5: Solve for x
    x = 262,451,757.47/13,783.56
  6. Step 6: Final answer
    x = 19,040.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.