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Finding the Fourth Proportional to 18,153.12, 27,231.54 and 5,005.50

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Solution

The fourth proportional to 18,153.12, 27,231.54 and 5,005.50 is: 7,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,153.12 : 27,231.54 = 5,005.50 : x
  2. Step 2: Convert to fraction form
    18,153.12/27,231.54 = 5,005.50/x
  3. Step 3: Cross multiply
    18,153.12x = 27,231.54 × 5,005.50
  4. Step 4: Simplify right side
    18,153.12x = 136,307,473.47
  5. Step 5: Solve for x
    x = 136,307,473.47/18,153.12
  6. Step 6: Final answer
    x = 7,508.76

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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.