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Finding the Fourth Proportional to 13,673.76, 18,870.48 and 8,367

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Solution

The fourth proportional to 13,673.76, 18,870.48 and 8,367 is: 11,546.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,673.76 : 18,870.48 = 8,367 : x
  2. Step 2: Convert to fraction form
    13,673.76/18,870.48 = 8,367/x
  3. Step 3: Cross multiply
    13,673.76x = 18,870.48 × 8,367
  4. Step 4: Simplify right side
    13,673.76x = 157,889,306.16
  5. Step 5: Solve for x
    x = 157,889,306.16/13,673.76
  6. Step 6: Final answer
    x = 11,546.88

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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.