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Finding the Fourth Proportional to 13,783.66, 20,675.48 and 5,992.47

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Solution

The fourth proportional to 13,783.66, 20,675.48 and 5,992.47 is: 8,988.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,783.66 : 20,675.48 = 5,992.47 : x
  2. Step 2: Convert to fraction form
    13,783.66/20,675.48 = 5,992.47/x
  3. Step 3: Cross multiply
    13,783.66x = 20,675.48 × 5,992.47
  4. Step 4: Simplify right side
    13,783.66x = 123,897,193.64
  5. Step 5: Solve for x
    x = 123,897,193.64/13,783.66
  6. Step 6: Final answer
    x = 8,988.70

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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.