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Finding the Fourth Proportional to 18,214.36, 27,334.50 and 7,829.08

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Solution

The fourth proportional to 18,214.36, 27,334.50 and 7,829.08 is: 11,749.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.36 : 27,334.50 = 7,829.08 : x
  2. Step 2: Convert to fraction form
    18,214.36/27,334.50 = 7,829.08/x
  3. Step 3: Cross multiply
    18,214.36x = 27,334.50 × 7,829.08
  4. Step 4: Simplify right side
    18,214.36x = 214,003,987.26
  5. Step 5: Solve for x
    x = 214,003,987.26/18,214.36
  6. Step 6: Final answer
    x = 11,749.19

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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.