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Finding the Fourth Proportional to 18,917.96, 28,378.56 and 7,822.52

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Solution

The fourth proportional to 18,917.96, 28,378.56 and 7,822.52 is: 11,734.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,917.96 : 28,378.56 = 7,822.52 : x
  2. Step 2: Convert to fraction form
    18,917.96/28,378.56 = 7,822.52/x
  3. Step 3: Cross multiply
    18,917.96x = 28,378.56 × 7,822.52
  4. Step 4: Simplify right side
    18,917.96x = 221,991,853.17
  5. Step 5: Solve for x
    x = 221,991,853.17/18,917.96
  6. Step 6: Final answer
    x = 11,734.45

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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.