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Finding the Fourth Proportional to 13,097.60, 19,651.44 and 6,081.20

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Solution

The fourth proportional to 13,097.60, 19,651.44 and 6,081.20 is: 9,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.60 : 19,651.44 = 6,081.20 : x
  2. Step 2: Convert to fraction form
    13,097.60/19,651.44 = 6,081.20/x
  3. Step 3: Cross multiply
    13,097.60x = 19,651.44 × 6,081.20
  4. Step 4: Simplify right side
    13,097.60x = 119,504,336.93
  5. Step 5: Solve for x
    x = 119,504,336.93/13,097.60
  6. Step 6: Final answer
    x = 9,124.14

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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.