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Finding the Fourth Proportional to 18,513, 27,772.39 and 6,030.08

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Solution

The fourth proportional to 18,513, 27,772.39 and 6,030.08 is: 9,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,513 : 27,772.39 = 6,030.08 : x
  2. Step 2: Convert to fraction form
    18,513/27,772.39 = 6,030.08/x
  3. Step 3: Cross multiply
    18,513x = 27,772.39 × 6,030.08
  4. Step 4: Simplify right side
    18,513x = 167,469,733.49
  5. Step 5: Solve for x
    x = 167,469,733.49/18,513
  6. Step 6: Final answer
    x = 9,046.06

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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.