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Finding the Fourth Proportional to 13,674.88, 18,873.57 and 7,708.15

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Solution

The fourth proportional to 13,674.88, 18,873.57 and 7,708.15 is: 10,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.88 : 18,873.57 = 7,708.15 : x
  2. Step 2: Convert to fraction form
    13,674.88/18,873.57 = 7,708.15/x
  3. Step 3: Cross multiply
    13,674.88x = 18,873.57 × 7,708.15
  4. Step 4: Simplify right side
    13,674.88x = 145,480,308.60
  5. Step 5: Solve for x
    x = 145,480,308.60/13,674.88
  6. Step 6: Final answer
    x = 10,638.51

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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.