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Finding the Fourth Proportional to 13,600.24, 18,768.62 and 7,632.34

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Solution

The fourth proportional to 13,600.24, 18,768.62 and 7,632.34 is: 10,532.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.24 : 18,768.62 = 7,632.34 : x
  2. Step 2: Convert to fraction form
    13,600.24/18,768.62 = 7,632.34/x
  3. Step 3: Cross multiply
    13,600.24x = 18,768.62 × 7,632.34
  4. Step 4: Simplify right side
    13,600.24x = 143,248,489.17
  5. Step 5: Solve for x
    x = 143,248,489.17/13,600.24
  6. Step 6: Final answer
    x = 10,532.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.