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Finding the Fourth Proportional to 13,600.02, 18,768 and 7,632.25

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Solution

The fourth proportional to 13,600.02, 18,768 and 7,632.25 is: 10,532.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,600.02 : 18,768 = 7,632.25 : x
  2. Step 2: Convert to fraction form
    13,600.02/18,768 = 7,632.25/x
  3. Step 3: Cross multiply
    13,600.02x = 18,768 × 7,632.25
  4. Step 4: Simplify right side
    13,600.02x = 143,242,021.08
  5. Step 5: Solve for x
    x = 143,242,021.08/13,600.02
  6. Step 6: Final answer
    x = 10,532.49

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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.