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Finding the Fourth Proportional to 13,016, 19,517.88 and 5,615.84

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Solution

The fourth proportional to 13,016, 19,517.88 and 5,615.84 is: 8,421.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,016 : 19,517.88 = 5,615.84 : x
  2. Step 2: Convert to fraction form
    13,016/19,517.88 = 5,615.84/x
  3. Step 3: Cross multiply
    13,016x = 19,517.88 × 5,615.84
  4. Step 4: Simplify right side
    13,016x = 109,609,291.22
  5. Step 5: Solve for x
    x = 109,609,291.22/13,016
  6. Step 6: Final answer
    x = 8,421.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.