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Finding the Fourth Proportional to 18,071.12, 27,105.08 and 6,383.76

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Solution

The fourth proportional to 18,071.12, 27,105.08 and 6,383.76 is: 9,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,071.12 : 27,105.08 = 6,383.76 : x
  2. Step 2: Convert to fraction form
    18,071.12/27,105.08 = 6,383.76/x
  3. Step 3: Cross multiply
    18,071.12x = 27,105.08 × 6,383.76
  4. Step 4: Simplify right side
    18,071.12x = 173,032,325.50
  5. Step 5: Solve for x
    x = 173,032,325.50/18,071.12
  6. Step 6: Final answer
    x = 9,575.07

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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.