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Finding the Fourth Proportional to 20,156.50, 30,235.56 and 6,305.50

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Solution

The fourth proportional to 20,156.50, 30,235.56 and 6,305.50 is: 9,458.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,156.50 : 30,235.56 = 6,305.50 : x
  2. Step 2: Convert to fraction form
    20,156.50/30,235.56 = 6,305.50/x
  3. Step 3: Cross multiply
    20,156.50x = 30,235.56 × 6,305.50
  4. Step 4: Simplify right side
    20,156.50x = 190,650,323.58
  5. Step 5: Solve for x
    x = 190,650,323.58/20,156.50
  6. Step 6: Final answer
    x = 9,458.50

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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.