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Finding the Fourth Proportional to 18,236.29, 27,342.96 and 7,700.89

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Solution

The fourth proportional to 18,236.29, 27,342.96 and 7,700.89 is: 11,546.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,236.29 : 27,342.96 = 7,700.89 : x
  2. Step 2: Convert to fraction form
    18,236.29/27,342.96 = 7,700.89/x
  3. Step 3: Cross multiply
    18,236.29x = 27,342.96 × 7,700.89
  4. Step 4: Simplify right side
    18,236.29x = 210,565,127.23
  5. Step 5: Solve for x
    x = 210,565,127.23/18,236.29
  6. Step 6: Final answer
    x = 11,546.49

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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.