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Finding the Fourth Proportional to 13,755.64, 18,983.30 and 7,623.46

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Solution

The fourth proportional to 13,755.64, 18,983.30 and 7,623.46 is: 10,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.64 : 18,983.30 = 7,623.46 : x
  2. Step 2: Convert to fraction form
    13,755.64/18,983.30 = 7,623.46/x
  3. Step 3: Cross multiply
    13,755.64x = 18,983.30 × 7,623.46
  4. Step 4: Simplify right side
    13,755.64x = 144,718,428.22
  5. Step 5: Solve for x
    x = 144,718,428.22/13,755.64
  6. Step 6: Final answer
    x = 10,520.66

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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.