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Finding the Fourth Proportional to 18,030.93, 27,046.39 and 6,788.38

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Solution

The fourth proportional to 18,030.93, 27,046.39 and 6,788.38 is: 10,182.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,030.93 : 27,046.39 = 6,788.38 : x
  2. Step 2: Convert to fraction form
    18,030.93/27,046.39 = 6,788.38/x
  3. Step 3: Cross multiply
    18,030.93x = 27,046.39 × 6,788.38
  4. Step 4: Simplify right side
    18,030.93x = 183,601,172.95
  5. Step 5: Solve for x
    x = 183,601,172.95/18,030.93
  6. Step 6: Final answer
    x = 10,182.57

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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.