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Finding the Fourth Proportional to 13,089.12, 19,636.92 and 6,162

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Solution

The fourth proportional to 13,089.12, 19,636.92 and 6,162 is: 9,244.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,089.12 : 19,636.92 = 6,162 : x
  2. Step 2: Convert to fraction form
    13,089.12/19,636.92 = 6,162/x
  3. Step 3: Cross multiply
    13,089.12x = 19,636.92 × 6,162
  4. Step 4: Simplify right side
    13,089.12x = 121,002,701.04
  5. Step 5: Solve for x
    x = 121,002,701.04/13,089.12
  6. Step 6: Final answer
    x = 9,244.53

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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.