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Finding the Fourth Proportional to 18,178.36, 27,247.92 and 7,645.96

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Solution

The fourth proportional to 18,178.36, 27,247.92 and 7,645.96 is: 11,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,178.36 : 27,247.92 = 7,645.96 : x
  2. Step 2: Convert to fraction form
    18,178.36/27,247.92 = 7,645.96/x
  3. Step 3: Cross multiply
    18,178.36x = 27,247.92 × 7,645.96
  4. Step 4: Simplify right side
    18,178.36x = 208,336,506.40
  5. Step 5: Solve for x
    x = 208,336,506.40/18,178.36
  6. Step 6: Final answer
    x = 11,460.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.