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Finding the Fourth Proportional to 18,905.79, 28,343.19 and 7,820.43

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Solution

The fourth proportional to 18,905.79, 28,343.19 and 7,820.43 is: 11,724.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,905.79 : 28,343.19 = 7,820.43 : x
  2. Step 2: Convert to fraction form
    18,905.79/28,343.19 = 7,820.43/x
  3. Step 3: Cross multiply
    18,905.79x = 28,343.19 × 7,820.43
  4. Step 4: Simplify right side
    18,905.79x = 221,655,933.37
  5. Step 5: Solve for x
    x = 221,655,933.37/18,905.79
  6. Step 6: Final answer
    x = 11,724.24

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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.