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Finding the Fourth Proportional to 13,422.64, 18,520.48 and 7,755.36

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Solution

The fourth proportional to 13,422.64, 18,520.48 and 7,755.36 is: 10,700.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.64 : 18,520.48 = 7,755.36 : x
  2. Step 2: Convert to fraction form
    13,422.64/18,520.48 = 7,755.36/x
  3. Step 3: Cross multiply
    13,422.64x = 18,520.48 × 7,755.36
  4. Step 4: Simplify right side
    13,422.64x = 143,632,989.77
  5. Step 5: Solve for x
    x = 143,632,989.77/13,422.64
  6. Step 6: Final answer
    x = 10,700.80

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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.