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Finding the Fourth Proportional to 13,216, 18,238.80 and 7,628.80

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Solution

The fourth proportional to 13,216, 18,238.80 and 7,628.80 is: 10,528.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,216 : 18,238.80 = 7,628.80 : x
  2. Step 2: Convert to fraction form
    13,216/18,238.80 = 7,628.80/x
  3. Step 3: Cross multiply
    13,216x = 18,238.80 × 7,628.80
  4. Step 4: Simplify right side
    13,216x = 139,140,157.44
  5. Step 5: Solve for x
    x = 139,140,157.44/13,216
  6. Step 6: Final answer
    x = 10,528.16

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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.