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Finding the Fourth Proportional to 18,232.56, 27,340.94 and 7,707.22

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Solution

The fourth proportional to 18,232.56, 27,340.94 and 7,707.22 is: 11,557.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,232.56 : 27,340.94 = 7,707.22 : x
  2. Step 2: Convert to fraction form
    18,232.56/27,340.94 = 7,707.22/x
  3. Step 3: Cross multiply
    18,232.56x = 27,340.94 × 7,707.22
  4. Step 4: Simplify right side
    18,232.56x = 210,722,590.50
  5. Step 5: Solve for x
    x = 210,722,590.50/18,232.56
  6. Step 6: Final answer
    x = 11,557.49

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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.