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Finding the Fourth Proportional to 18,355.48, 27,533.22 and 7,967

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Solution

The fourth proportional to 18,355.48, 27,533.22 and 7,967 is: 11,950.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,355.48 : 27,533.22 = 7,967 : x
  2. Step 2: Convert to fraction form
    18,355.48/27,533.22 = 7,967/x
  3. Step 3: Cross multiply
    18,355.48x = 27,533.22 × 7,967
  4. Step 4: Simplify right side
    18,355.48x = 219,357,163.74
  5. Step 5: Solve for x
    x = 219,357,163.74/18,355.48
  6. Step 6: Final answer
    x = 11,950.50

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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.