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Finding the Fourth Proportional to 18,283.14, 27,428.66 and 5,804.16

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Solution

The fourth proportional to 18,283.14, 27,428.66 and 5,804.16 is: 8,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.14 : 27,428.66 = 5,804.16 : x
  2. Step 2: Convert to fraction form
    18,283.14/27,428.66 = 5,804.16/x
  3. Step 3: Cross multiply
    18,283.14x = 27,428.66 × 5,804.16
  4. Step 4: Simplify right side
    18,283.14x = 159,200,302.20
  5. Step 5: Solve for x
    x = 159,200,302.20/18,283.14
  6. Step 6: Final answer
    x = 8,707.49

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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.