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Finding the Fourth Proportional to 13,268.16, 18,303.48 and 7,961.76

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Solution

The fourth proportional to 13,268.16, 18,303.48 and 7,961.76 is: 10,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,268.16 : 18,303.48 = 7,961.76 : x
  2. Step 2: Convert to fraction form
    13,268.16/18,303.48 = 7,961.76/x
  3. Step 3: Cross multiply
    13,268.16x = 18,303.48 × 7,961.76
  4. Step 4: Simplify right side
    13,268.16x = 145,727,914.92
  5. Step 5: Solve for x
    x = 145,727,914.92/13,268.16
  6. Step 6: Final answer
    x = 10,983.28

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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.