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Finding the Fourth Proportional to 13,647.12, 18,833.76 and 7,679.04

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Solution

The fourth proportional to 13,647.12, 18,833.76 and 7,679.04 is: 10,597.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,647.12 : 18,833.76 = 7,679.04 : x
  2. Step 2: Convert to fraction form
    13,647.12/18,833.76 = 7,679.04/x
  3. Step 3: Cross multiply
    13,647.12x = 18,833.76 × 7,679.04
  4. Step 4: Simplify right side
    13,647.12x = 144,625,196.39
  5. Step 5: Solve for x
    x = 144,625,196.39/13,647.12
  6. Step 6: Final answer
    x = 10,597.49

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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.