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Finding the Fourth Proportional to 20,783.60, 31,137.60 and 11,992.40

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Solution

The fourth proportional to 20,783.60, 31,137.60 and 11,992.40 is: 17,966.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.60 : 31,137.60 = 11,992.40 : x
  2. Step 2: Convert to fraction form
    20,783.60/31,137.60 = 11,992.40/x
  3. Step 3: Cross multiply
    20,783.60x = 31,137.60 × 11,992.40
  4. Step 4: Simplify right side
    20,783.60x = 373,414,554.24
  5. Step 5: Solve for x
    x = 373,414,554.24/20,783.60
  6. Step 6: Final answer
    x = 17,966.79

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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.