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Finding the Fourth Proportional to 18,906.29, 28,343.94 and 7,820.93

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Solution

The fourth proportional to 18,906.29, 28,343.94 and 7,820.93 is: 11,724.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,906.29 : 28,343.94 = 7,820.93 : x
  2. Step 2: Convert to fraction form
    18,906.29/28,343.94 = 7,820.93/x
  3. Step 3: Cross multiply
    18,906.29x = 28,343.94 × 7,820.93
  4. Step 4: Simplify right side
    18,906.29x = 221,675,970.66
  5. Step 5: Solve for x
    x = 221,675,970.66/18,906.29
  6. Step 6: Final answer
    x = 11,724.99

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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.