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Finding the Fourth Proportional to 18,386, 27,583.32 and 6,074

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Solution

The fourth proportional to 18,386, 27,583.32 and 6,074 is: 9,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,386 : 27,583.32 = 6,074 : x
  2. Step 2: Convert to fraction form
    18,386/27,583.32 = 6,074/x
  3. Step 3: Cross multiply
    18,386x = 27,583.32 × 6,074
  4. Step 4: Simplify right side
    18,386x = 167,541,085.68
  5. Step 5: Solve for x
    x = 167,541,085.68/18,386
  6. Step 6: Final answer
    x = 9,112.43

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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.