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Finding the Fourth Proportional to 13,097.09, 19,645.84 and 7,290.61

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Solution

The fourth proportional to 13,097.09, 19,645.84 and 7,290.61 is: 10,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,097.09 : 19,645.84 = 7,290.61 : x
  2. Step 2: Convert to fraction form
    13,097.09/19,645.84 = 7,290.61/x
  3. Step 3: Cross multiply
    13,097.09x = 19,645.84 × 7,290.61
  4. Step 4: Simplify right side
    13,097.09x = 143,230,117.56
  5. Step 5: Solve for x
    x = 143,230,117.56/13,097.09
  6. Step 6: Final answer
    x = 10,936.02

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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.