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Finding the Fourth Proportional to 20,937.60, 31,402.80 and 7,783.20

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Solution

The fourth proportional to 20,937.60, 31,402.80 and 7,783.20 is: 11,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.60 : 31,402.80 = 7,783.20 : x
  2. Step 2: Convert to fraction form
    20,937.60/31,402.80 = 7,783.20/x
  3. Step 3: Cross multiply
    20,937.60x = 31,402.80 × 7,783.20
  4. Step 4: Simplify right side
    20,937.60x = 244,414,272.96
  5. Step 5: Solve for x
    x = 244,414,272.96/20,937.60
  6. Step 6: Final answer
    x = 11,673.46

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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.