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Finding the Fourth Proportional to 28,546.50, 42,822.45 and 9,825.78

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Solution

The fourth proportional to 28,546.50, 42,822.45 and 9,825.78 is: 14,739.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,546.50 : 42,822.45 = 9,825.78 : x
  2. Step 2: Convert to fraction form
    28,546.50/42,822.45 = 9,825.78/x
  3. Step 3: Cross multiply
    28,546.50x = 42,822.45 × 9,825.78
  4. Step 4: Simplify right side
    28,546.50x = 420,763,972.76
  5. Step 5: Solve for x
    x = 420,763,972.76/28,546.50
  6. Step 6: Final answer
    x = 14,739.60

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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.