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Finding the Fourth Proportional to 18,283.72, 27,429.72 and 5,804.50

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Solution

The fourth proportional to 18,283.72, 27,429.72 and 5,804.50 is: 8,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,283.72 : 27,429.72 = 5,804.50 : x
  2. Step 2: Convert to fraction form
    18,283.72/27,429.72 = 5,804.50/x
  3. Step 3: Cross multiply
    18,283.72x = 27,429.72 × 5,804.50
  4. Step 4: Simplify right side
    18,283.72x = 159,215,809.74
  5. Step 5: Solve for x
    x = 159,215,809.74/18,283.72
  6. Step 6: Final answer
    x = 8,708.06

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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.