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Finding the Fourth Proportional to 18,285.14, 27,428.65 and 5,806.13

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Solution

The fourth proportional to 18,285.14, 27,428.65 and 5,806.13 is: 8,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,285.14 : 27,428.65 = 5,806.13 : x
  2. Step 2: Convert to fraction form
    18,285.14/27,428.65 = 5,806.13/x
  3. Step 3: Cross multiply
    18,285.14x = 27,428.65 × 5,806.13
  4. Step 4: Simplify right side
    18,285.14x = 159,254,361.68
  5. Step 5: Solve for x
    x = 159,254,361.68/18,285.14
  6. Step 6: Final answer
    x = 8,709.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.