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Finding the Fourth Proportional to 18,238.50, 27,357.75 and 4,387.50

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Solution

The fourth proportional to 18,238.50, 27,357.75 and 4,387.50 is: 6,581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,238.50 : 27,357.75 = 4,387.50 : x
  2. Step 2: Convert to fraction form
    18,238.50/27,357.75 = 4,387.50/x
  3. Step 3: Cross multiply
    18,238.50x = 27,357.75 × 4,387.50
  4. Step 4: Simplify right side
    18,238.50x = 120,032,128.13
  5. Step 5: Solve for x
    x = 120,032,128.13/18,238.50
  6. Step 6: Final answer
    x = 6,581.25

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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.