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Finding the Fourth Proportional to 13,071.68, 19,591.45 and 6,042.18

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Solution

The fourth proportional to 13,071.68, 19,591.45 and 6,042.18 is: 9,055.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.68 : 19,591.45 = 6,042.18 : x
  2. Step 2: Convert to fraction form
    13,071.68/19,591.45 = 6,042.18/x
  3. Step 3: Cross multiply
    13,071.68x = 19,591.45 × 6,042.18
  4. Step 4: Simplify right side
    13,071.68x = 118,375,067.36
  5. Step 5: Solve for x
    x = 118,375,067.36/13,071.68
  6. Step 6: Final answer
    x = 9,055.84

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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.