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Finding the Fourth Proportional to 20,783.30, 31,174.95 and 5,200.92

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Solution

The fourth proportional to 20,783.30, 31,174.95 and 5,200.92 is: 7,801.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.30 : 31,174.95 = 5,200.92 : x
  2. Step 2: Convert to fraction form
    20,783.30/31,174.95 = 5,200.92/x
  3. Step 3: Cross multiply
    20,783.30x = 31,174.95 × 5,200.92
  4. Step 4: Simplify right side
    20,783.30x = 162,138,420.95
  5. Step 5: Solve for x
    x = 162,138,420.95/20,783.30
  6. Step 6: Final answer
    x = 7,801.38

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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.