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Finding the Fourth Proportional to 18,261.35, 27,396.12 and 5,782.13

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Solution

The fourth proportional to 18,261.35, 27,396.12 and 5,782.13 is: 8,674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,261.35 : 27,396.12 = 5,782.13 : x
  2. Step 2: Convert to fraction form
    18,261.35/27,396.12 = 5,782.13/x
  3. Step 3: Cross multiply
    18,261.35x = 27,396.12 × 5,782.13
  4. Step 4: Simplify right side
    18,261.35x = 158,407,790.36
  5. Step 5: Solve for x
    x = 158,407,790.36/18,261.35
  6. Step 6: Final answer
    x = 8,674.49

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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.