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Finding the Fourth Proportional to 18,551.87, 27,824.79 and 6,071.71

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Solution

The fourth proportional to 18,551.87, 27,824.79 and 6,071.71 is: 9,106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.87 : 27,824.79 = 6,071.71 : x
  2. Step 2: Convert to fraction form
    18,551.87/27,824.79 = 6,071.71/x
  3. Step 3: Cross multiply
    18,551.87x = 27,824.79 × 6,071.71
  4. Step 4: Simplify right side
    18,551.87x = 168,944,055.69
  5. Step 5: Solve for x
    x = 168,944,055.69/18,551.87
  6. Step 6: Final answer
    x = 9,106.58

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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.