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Finding the Fourth Proportional to 18,162.96, 27,256 and 7,774.64

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Solution

The fourth proportional to 18,162.96, 27,256 and 7,774.64 is: 11,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,162.96 : 27,256 = 7,774.64 : x
  2. Step 2: Convert to fraction form
    18,162.96/27,256 = 7,774.64/x
  3. Step 3: Cross multiply
    18,162.96x = 27,256 × 7,774.64
  4. Step 4: Simplify right side
    18,162.96x = 211,905,587.84
  5. Step 5: Solve for x
    x = 211,905,587.84/18,162.96
  6. Step 6: Final answer
    x = 11,666.91

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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.