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Finding the Fourth Proportional to 13,719.88, 18,932.98 and 7,669.96

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Solution

The fourth proportional to 13,719.88, 18,932.98 and 7,669.96 is: 10,584.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,719.88 : 18,932.98 = 7,669.96 : x
  2. Step 2: Convert to fraction form
    13,719.88/18,932.98 = 7,669.96/x
  3. Step 3: Cross multiply
    13,719.88x = 18,932.98 × 7,669.96
  4. Step 4: Simplify right side
    13,719.88x = 145,215,199.28
  5. Step 5: Solve for x
    x = 145,215,199.28/13,719.88
  6. Step 6: Final answer
    x = 10,584.29

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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.